In a laboratory experiment, a muon is observed to travel800 m before disintegrating. A graduate student looks up the lifetime of a muon (2 x w-6 s) and concludes that its speed was

Answers

Answer 1

If a muon is observed to travel 800 m before disintegrating and if its lifetime is (2 x 10-6 s), then the speed of the muon is 400,000,000 m/s.

What is the relation between speed, distance and time?

To find the speed of the muon, we need to use the formula:

distance = speed x time

We are given the distance traveled by the muon before disintegrating, which is 800 m. We also have the lifetime of the muon, which is 2 x 10^-6 s.

To find the speed, we need to rearrange the formula:

speed = distance / time

Substituting the values we have:

speed = 800 m / (2 x 10^-6 s)

simplifying:

speed = 400,000,000 m/s

Therefore, the speed of the muon is 400,000,000 m/s.

Note: This speed is close to the speed of light, which is 299,792,458 m/s. It is not uncommon for particles to travel at very high speeds in experiments such as this.

To know more about speed visit:

https://brainly.com/question/28224010

#SPJ11


Related Questions

When you look at a very dim star, you sometimes need to look to the side of the star and view it with peripheral vision. Why?

Answers

The reason you need to look to the side of a very dim star and view it with peripheral vision is because the rod cells, which are more sensitive to low light, are more abundant in the peripheral areas of the retina.

In our eyes, there are two types of photoreceptor cells: rod cells and cone cells.

Rod cells are responsible for vision in low light conditions, while cone cells are responsible for color vision and visual acuity in bright light. The rod cells are more abundant in the peripheral regions of the retina, while cone cells are concentrated in the central area called the fovea.
When you look directly at a dim star, the light falls on the fovea, where there are fewer rod cells. By looking slightly to the side of the star, you allow the light to fall on the peripheral retina, where there is a higher concentration of rod cells. This makes it easier for you to detect the dim light from the star with your peripheral vision.
In order to see a dim star more clearly, it is helpful to use peripheral vision by looking to the side of the star. This is because the rod cells, which are sensitive to low light, are more concentrated in the peripheral areas of the retina, allowing you to detect faint light more effectively.

For more information on Photoreceptors in eye kindly visit to

https://brainly.com/question/17144423

#SPJ11

how does the speed of the vertically launched sphere compare to the speed of the horizonally launched sphere as they hit the dloor

Answers

The speeds of the vertically launched sphere and horizontally launched sphere will not necessarily be the same when they hit the floor, even if they are launched from the same height and at the same initial speed.

When a sphere is launched vertically upwards, it will slow down due to the force of gravity acting against it, until it reaches the highest point of its trajectory and momentarily stops. Then, it will accelerate back downwards towards the ground, increasing in speed until it hits the floor. The speed at which it hits the floor will depend on its initial speed, the height it was launched from, and the acceleration due to gravity.

On the other hand, when a sphere is launched horizontally, it will continue to move at a constant speed in the horizontal direction, while also being accelerated downwards due to the force of gravity. The resulting motion is a projectile motion with a parabolic trajectory. The speed at which it hits the floor will depend on its initial horizontal speed, the height it was launched from, and the acceleration due to gravity.

Therefore, the speeds of the vertically and horizontally launched spheres when they hit the floor will depend on a variety of factors and cannot be determined without more information about the specific conditions of the launches.

To learn more about speed. Click this!

brainly.in/question/16268943

#SPJ11

An electric-discharge or LED luminaire or listed assembly can be cord connected if the luminaire is located __________ the outlet, the cord is visible for its entire length except at terminations, and the cord is not subject to strain or physical damage.

Answers

If the luminaire is placed below the outlet, the cable is visible throughout its entire length, save for the terminations, and the cord is not susceptible to strain or physical damage, the cord can be attached to an LED, electric-discharge, or listed assembly.

If any of the following circumstances occur, a luminaire or a listed assembly may be cord connected: (1) The light source is situated exactly beneath the outlet or busway. (2) The flexible cable satisfies the requirements of: is completely visible outside of the luminaire.

Electric discharge and LED luminaires that are supported separately from the outlet box must be connected to the branch circuit using a flexible cable, nonmetallic sheathed cable, Type MC cable, Type AC cable, or Type MI cable.

Learn more about luminaire visit: brainly.com/question/30145108

#SPJ4

A uniform magnetic field makes an angle of 37o with the axis of a circular coil of 200 turns and radius 6 cm. If the field changes at the rate of 50 T.s-1, what is the induced emf in the coil

Answers

If the field changes at the rate of 50 T.s^-1,  the induced emf in the coil:  87 V. The correct option is A.

- Angle between magnetic field and coil axis: 37 degrees
- Number of turns in the coil: 200 turns


- Radius of the coil: 6 cm (0.06 m)
- Rate of change of magnetic field: 50 T·s^-1

Formula to calculate the induced emf:


Induced emf (E) = N * (dΦB/dt)
where N is the number of turns, and dΦB/dt is the rate of change of magnetic flux.

Calculate the area (A) of the circular coil:


A = π * r^2
A = π * (0.06 m)^2
A ≈ 0.0113 m^2

4. Calculate the rate of change of magnetic flux (dΦB/dt):


dΦB/dt = (dB/dt) * A * cos(θ)
dΦB/dt = 50 T·s^-1 * 0.0113 m^2 * cos(37°)
dΦB/dt ≈ 0.4437 Wb·s^-1

5. Calculate the induced emf (E):


E = N * (dΦB/dt)
E = 200 turns * 0.4437 Wb·s^-1
E ≈ 88.74 V

Therefore, the induced emf in the coil is approximately 87 V.

To know more about emf, refer here:

https://brainly.com/question/16764848#

#SPJ11

Complete question:

A uniform magnetic field makes an angle of 37degree with the axis of a circular coil of 200 turns and radius 6 cm. If the field changes at the rate of 50 T.s^-1, what is the induced emf in the coil?

a. 87 V

b. 79 V

c. 124 V

d. 111 V

Find the acceleration for a ball that starts from rest, rolls down a ramp, and gains a speed of 36 m/s in 3.4 s . Express your answer to two significant figures and include the appropriate units. a

Answers

10.6 m/s² is the acceleration for a ball that starts from rest, rolls down a ramp, and gains a speed of 36 m/s in 3.4 s.

Any object's acceleration is defined as the change in speed that occurs when time changes. Since acceleration is a vector concept, its magnitude and direction must be specified. The acceleration can be measured in m/sec², miles/sec², etc.

Any increase in speed in the positive direction would be a positive acceleration, any increase in the negative direction would be a negative acceleration, and any decrease in speed would be a decrease in acceleration. Acceleration is the increase in speed that an object exhibits or experiments in a certain amount of time. You have positive and negative acceleration depending on the negative and positive directions, for example, when using the vertical plane falling would be the negative direction and going up would be the positive direction.

The acceleration for the ball can be found using the equation:
acceleration = (final velocity - initial velocity) / time
Since the ball starts from rest, its initial velocity is 0 m/s. Therefore:
acceleration = (36 m/s - 0 m/s) / 3.4 s
acceleration = 10.6 m/s²
To two significant figures, the acceleration of the ball is 10.6 m/s².

Learn more about acceleration here

https://brainly.com/question/30660316

#SPJ11

The wad of clay of mass m is initially moving with a horizontal velocity when it strikes and sticks to the initially stationary uniform slender bar of mass M and length L. Determine the final angular velocity of the combined body and the x-component of the linear impulse applied to the body by the pivot O during the impact.

Answers

The final angular velocity of the combined body is ω = (3 m v) / (M L) and the x-component of the linear impulse applied to the body by the pivot O during the impact is Jx = 0.

Let's denote the velocity of the wad of clay before the collision as v, the final angular velocity of the combined body as ω, and the x-component of the linear impulse applied to the system by the pivot O as Jx.

Using the principle of conservation of angular momentum, we can write:

m v L = (1/3) M L² ω

Solving for ω, we get:

ω = (3 m v) / (M L)

Next, we can use the principle of conservation of linear momentum to find the x-component of the linear impulse Jx. Since the collision is inelastic, the final velocity of the combined body is zero after the collision. Therefore, we can write:

m v + 0 = (m + M) Vx

where Vx is the x-component of the velocity of the combined body after the collision. Solving for Vx, we get:

Vx = (m v) / (m + M)

The change in linear momentum Δp in the x-direction is given by:

Δp = (m + M) Vx - m v

Substituting the expression for Vx, we get:

Δp = [(m + M) (m v) / (m + M)] - m v

Δp = 0

This means that the x-component of the linear impulse Jx applied to the system by the pivot O during the impact is zero.

To know more about angular velocity, here

brainly.com/question/29557272

#SPJ1

A certain superconducting magnet in the form of a solenoid of length m can generate a magnetic field of T in its core when its coils carry a current of A. Find the number of turns in the solenoid.

Answers

Number of turns in the solenoid = [tex](T / (4\pi * 10^{(-7)} * I)) * L[/tex]

To find the number of turns in the solenoid, we can use the formula for the magnetic field inside a solenoid:

B = μ₀[tex]* n * I,[/tex]

where B is the magnetic field strength, μ₀ is the permeability of free space (a constant), n is the number of turns per unit length, and I is the current.

In this case, we know the length of the solenoid, the magnetic field strength, and the current. Let's denote the length of the solenoid as L (in meters), the magnetic field strength as B (in Tesla), the current as I (in Amperes), and the number of turns per unit length as n (in turns per meter).

Since we're given the magnetic field strength as B = T, the equation becomes:

T = μ₀ * n * I.

Now, solve for n:

n = T / (μ₀ * I).

The value of μ₀ is a constant, known as the permeability of free space, which is approximately [tex]4\pi * 10^{(-7) } T.m/A.[/tex]

Substituting the values:

n = [tex]T / (4\pi * 10^{(-7)} * I).[/tex]

To find the total number of turns, we need to multiply n by the length of the solenoid, L:

Total number of turns = n * L.

Therefore, the final expression for the number of turns in the solenoid is:

Total number of turns = [tex](T / (4\pi * 10^{(-7)} * I)) * L.[/tex]

Substitute the values of T, I, and L into this equation to calculate the number of turns in the solenoid.

For more such questions on solenoid, click on:

https://brainly.com/question/25562052

#SPJ11

A ________ fault has a vertical fault plane and shows movement parallel to the orientation of the fault.

Answers

A vertical fault plane with parallel movement is called a dip-slip fault.

Dip-slip faults are categorized by their vertical fault plane and movement parallel to the orientation of the fault.

These faults are caused by tensional or compressional forces acting on rock layers.

There are two types of dip-slip faults: normal and reverse.

A normal fault occurs when the hanging wall moves down relative to the footwall due to tensional forces.

A reverse fault occurs when the hanging wall moves up relative to the footwall due to compressional forces.

Dip-slip faults can also lead to the formation of fault scarps, which are steep slopes created by the displacement of rock layers.

These fault systems can have significant impacts on geologic features and structures, such as mountains and valleys.

For more such questions on movement, click on:

https://brainly.com/question/30015054

#SPJ11

A student pushes a cart filled with books up a ramp, a distance of 8.0 m, to the library. The student applies a force parallel to the ramp of 300 N to the cart. The work the student does is

Answers

The work done by the student in pushing the cart up the ramp is 2400 J.

The work done by the student in pushing the cart up the ramp can be calculated using the formula:

Work = Force x Distance x cos(theta)

where theta is the angle between the direction of the applied force and the displacement of the object.

In this case, the force applied by the student is parallel to the ramp, so theta = 0 degrees and cos(theta) = 1. The distance the cart is pushed up the ramp is given as 8.0 m, and the force applied by the student is 300 N. Therefore, the work done by the student is:

Work = Force x Distance x cos(theta) = 300 N x 8.0 m x 1 = 2400 J

So, the work done by the student in pushing the cart up the ramp is 2400 J.

Learn more about the work done

https://brainly.com/question/31655489

#SPJ4

A farsighted woman has a near point of 70.0 cm. What power contact lens (when on the eye) will allow her to see objects 27.5 cm away clearly

Answers

A farsighted woman has a near point of 70.0 cm. We have to find the power contact lens (when on the eye) which will allow her to see objects 27.5 cm away clearly.

The near point of a person is the closest distance at which the person can focus on an object, and it is related to the person's focusing ability or accommodation. For a farsighted person, the near point is farther away than for a person with normal vision.

The power of a lens is given by the equation:

P = 1/f

where P is the power of the lens in diopters (D), and f is the focal length of the lens in meters.

To find the power of the contact lens needed for the farsighted woman to see objects clearly at a distance of 27.5 cm (0.275 m), we need to calculate the focal length of the lens.

The near point of the woman is 70.0 cm (0.7 m), so her current accommodation (focusing ability) is:

1/f = 1/0.7 m

f = 1.43 m

This means that her eye has a focusing power of:

P = 1/f = 1/1.43 m ≈ 0.699 D

To see objects clearly at 27.5 cm (0.275 m), she needs to increase her focusing power by:

P' = 1/f' = 1/0.275 m ≈ 3.64 D

The required power of the contact lens is the difference between the focusing power needed and her current focusing power:

P_contact = P' - P ≈ 2.94 D

Therefore, the power of the contact lens needed for the farsighted woman to see objects clearly at a distance of 27.5 cm is approximately 2.94 D.

Learn more about power at: https://brainly.com/question/11569624

#SPJ11

A ray of light strikes a plane mirror at an angle of incidence equal to 35.0 degrees. The angle between the incidence ray and the reflected ray is

Answers

The angle between the incident ray and the reflected ray is 70.0 degrees.



When a ray of light strikes a plane mirror, the angle of incidence is equal to the angle of reflection. This is known as the Law of Reflection. In your case, the angle of incidence is 35.0 degrees, so the angle of reflection will also be 35.0 degrees.

To find the angle between the incident ray and the reflected ray, we can add the angle of incidence and the angle of reflection together:

Angle between incident ray and reflected ray = Angle of incidence + Angle of reflection
Angle between incident ray and reflected ray = 35.0 degrees + 35.0 degrees
Angle between incident ray and reflected ray = 70.0 degrees

So, the angle between the incident ray and the reflected ray is 70.0 degrees.

to learn more about incident ray click here:

brainly.com/question/28391968

#SPJ11

A 3 m diameter tank is initially filled with water 2 m above the center of a sharp-edged 10 cm diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the atmosphere. Calculate the initial velocity from the tank.

Answers

By using Torricelli's theorem, the initial velocity from the 3 m diameter tank with water 2 m above the center of a sharp-edged 10 cm diameter orifice is approximately 6.26 m/s.

Torricelli's theorem states that the speed of efflux (v) of a fluid under the force of gravity through an orifice is given by the formula v = sqrt(2gh), where g is the acceleration due to gravity (approximately 9.81 m/s²) and h is the height of the fluid above the orifice.

In this case, the height (h) is 2 m above the center of the orifice. To calculate the initial velocity (v), we can plug the values into the formula:

v = sqrt(2 * 9.81 m/s² * 2 m)

v = sqrt(39.24 m²/s²)

v = 6.26 m/s

Therefore, the initial velocity from the 3 m diameter tank with water 2 m above the center of a sharp-edged 10 cm diameter orifice is approximately 6.26 m/s.

To know more about Torricelli's theorem, refer here:

https://brainly.com/question/13258304#

#SPJ11

Complete question:

A 3 m diameter tank is initially filled with water 2 m above the center of a sharp-edged 10 cm diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the atmosphere. Calculate the initial velocity from the tank.

The technique of transcranial magnetic stimulation employs strong magnetic pulses at a particular site on the scalp. When it is used on the scalp near Area V1, the effect is

Answers

When transcranial magnetic stimulation (TMS) is used on the scalp near Area V1 (primary visual cortex), the effect is the modulation or disruption of visual perception.

TMS involves the use of strong magnetic pulses to induce electrical currents in specific regions of the brain. By targeting the scalp near Area V1, which is responsible for processing visual information, TMS can influence the functioning of this brain region.

The specific effects of TMS on visual perception can vary depending on the parameters of stimulation, such as the intensity, duration, and frequency of the magnetic pulses.

TMS can transiently disrupt or modulate the activity of neurons in Area V1, leading to alterations in visual processing.

Some of the effects that have been observed with TMS near Area V1 include:

Phosphene induction: Phosphenes are brief flashes of light or visual sensations experienced without external visual stimulation. TMS near Area V1 can elicit phosphenes, indicating the direct activation of visual cortical neurons.

Visual suppression: TMS can temporarily suppress visual perception by interfering with the normal processing of visual information in Area V1. This can lead to a reduction or loss of visual awareness or impairments in visual discrimination tasks.

Disruption of visual processing: TMS near Area V1 can interfere with specific aspects of visual processing, such as motion perception, object recognition, or spatial attention.

This disruption can provide insights into the functional organization of the visual cortex and its contribution to visual perception.

It's important to note that the effects of TMS can be highly localized and depend on the precise targeting of the magnetic pulses. Researchers and clinicians use TMS as a tool to study the functioning of the brain, investigate neural circuits, and explore the relationship between brain activity and perception.

To learn more about disruption, refer below:

https://brainly.com/question/26496230

#SPJ11

there is a cup of solid gas and liquid...tinna uses a vice to squeeze each container. Which turns out to be the most compressible?

Answers

Gases are the most compressible of the three states of matter, so the cup containing the solid and the liquid would be the least compressible. When Tinna squeezes the cup with the solid and liquid, they will not compress much. On the other hand, when Tinna squeezes the container with the gas, the gas particles will be compressed and the container will change shape. This is because gas particles are much more spread out than the particles in solids and liquids, so there is more space for the particles to move closer together when the gas is compressed.

A force compresses a bone by 1.0 mm. A second bone has the same cross-sectional area but twice the length as the first. By how much would the same force compress this second bone

Answers

The force required to compress the second bone with twice the length but the same cross-sectional area as the first bone would be twice as much.

This means that the same force that compressed the first bone by 1.0 mm would compress the second bone by 0.5 mm.To understand why this is the case, we can look at the equation for strain, which is defined as the change in length divided by the original length. If we assume that the force remains constant, then the strain will be proportional to the change in length.Since the second bone has twice the length of the first bone, it will have twice the original length. Therefore, if the force is the same for both bones, the strain in the second bone will be half of the strain in the first bone. And since strain is proportional to the change in length, the compression of the second bone will also be half of the compression of the first bone.In summary, the same force that compresses the first bone by 1.0 mm would compress the second bone by 0.5 mm, because the second bone has twice the length but the same cross-sectional area as the first bone.

Learn more about compression here:

https://brainly.com/question/14828391

#SPJ11

A spring with a force constant of 5400 N/m and a rest length of 3.3 m is used in a catapult. When compressed to 1.0 m, it is used to launch a 52 kg rock. However, there is an error in the release mechanism, so the rock gets launched almost straight up. How high does it go

Answers

The rock will reach a height of approximately 27.76 meters.

1. Calculate the spring's potential energy (PE) when compressed:
PE = (1/2) * k * x^2
where k = 5400 N/m (force constant), x = 3.3 m - 1.0 m = 2.3 m (compression distance)

PE = (1/2) * 5400 * 2.3^2
PE ≈ 14157 J (joules)

2. At the highest point, all the potential energy is converted to gravitational potential energy (GPE):
GPE = m * g * h
where m = 52 kg (mass of the rock), g = 9.81 m/s^2 (acceleration due to gravity), and h (height) is what we want to find.

3. Equate GPE and PE, then solve for h:
14157 J = 52 kg * 9.81 m/s^2 * h

h ≈ 27.76 m

The rock will reach a height of approximately 27.76 meters.

To know more about Spring visit

https://brainly.com/question/14670501

#SPJ11

A person on earth notices a rocket approaching from the right at a speed of 0.77c and another rocket approaching from the left at 0.65c. What is the relative speed between the two rockets, as measured by a passenger on one of them

Answers

The relative speed between the two rockets, as measured by a passenger on one of them, is 0.08c (where c is the speed of light).

According to the theory of relativity, the relative velocity between two objects moving at high speeds cannot be simply calculated by adding their velocities. Instead, we need to use the relativistic velocity addition formula:

[tex]v = (v1 + v2) / (1 + v1*v2/c^2)[/tex]

where v1 and v2 are the velocities of the two rockets as observed by the person on Earth, and c is the speed of light.

Let's say the person on Earth is facing towards the approaching rocket from the right, so they measure its velocity as v1 = 0.77c. They also measure the velocity of the rocket approaching from the left as v2 = -0.65c (since it's moving in the opposite direction).

Substituting these values into the formula, we get:

[tex]v = (0.77c - 0.65c) / (1 - (0.77c * -0.65c)/c^2)[/tex]

[tex]v = 0.12c / (1 + 0.50)[/tex]

[tex]v = 0.08c.[/tex]

Learn more about theory of relativity here:

https://brainly.com/question/364776

#SPJ11

To regain control of a vehicle in a skid, __________. press hard on the brake make smooth steering corrections counter steer to the maximum press hard on the accelerator

Answers

To regain control of a vehicle in a skid, one should make smooth steering corrections.

When a vehicle enters into a skid, the wheels of the vehicle lose their grip on the road and the vehicle starts to slide in a direction different from the direction of the wheels. In such a situation, one should avoid pressing hard on the brake or accelerator as it can make the skid worse. Instead, one should steer smoothly in the direction of the skid to regain control of the vehicle. This is known as counter-steering. By doing this, the wheels will start to grip the road again, and the vehicle will begin to move in the desired direction. It is important to remember to avoid overcompensating when counter-steering, as this can lead to another skid in the opposite direction.

Know more about steering here;

https://brainly.com/question/29944212

#SPJ11

a front door drops when opened while examining a unibody wehicle for front impact damage. what has been damaged or moved back

Answers

The most likely answer is that the front bumper and/or hood have been pushed back due to the impact. The frame of the vehicle may have also been bent or twisted, which could cause the door to drop when opened.

What is bumper?

A bumper is an automobile part which is designed to absorb impact in a collision. It is typically located at the front and rear of a car and is made of metal, plastic, or rubber. The purpose of a bumper is to protect the car from damage in a low speed collision. Bumpers also offer some protection to pedestrians in the event of a collision. Bumpers are designed to be strong and durable, and are typically the first point of contact for two cars in a low speed collision.

To learn more about bumper

https://brainly.com/question/4455909

#SPJ4

space shuttle travels at 17,500 mph if venus is 25 million miles from earth,how many hours will it take shuttle to get to venus

Answers

It will take approximately 1,428.57 hours, or about 59.5 days, for the space shuttle to travel from Earth to Venus

To calculate the time it takes for the space shuttle to travel from Earth to Venus:

Time = Distance / Speed

Where distance is the distance between Earth and Venus, and speed is the speed of the space shuttle.

Plugging in the given values, we get:

Time = 25,000,000 miles / 17,500 miles per hour

Simplifying the equation, we get:

Time = 1,428.57 hours

Therefore, it will take approximately 1,428.57 hours, or about 59.5 days, for the space shuttle to travel from Earth to Venus at a speed of 17,500 miles per hour.

To know more about Space shuttle, here

brainly.com/question/6906642

#SPJ1

The compressor on an air conditioner draws 40.0 A when it starts up. If the start-up time is 0.50 s, how much charge passes a cross-sectional area of the circuit in this time

Answers

The compressor on an air conditioner draws 40.0 A when it starts up and during the 0.50 s start-up time, 20.0 Coulombs of charge pass through a cross-sectional area of the circuit.

The amount of charge passing through a cross-sectional area of the circuit can be calculated using the formula: Q = I x t
where Q is the charge, I is the current, and t is the time.

Using the given terms, we can determine the amount of charge that passes through a cross-sectional area of the circuit during the start-up time of the air conditioner's compressor.

In this case, the current is 40.0 A and the start-up time is 0.50 s. Plugging these values into the formula gives:
Plugging in the given values:
Q = 40.0 A x 0.50 s
Q = 20.0 Coulombs

So, during the 0.50 s start-up time, 20.0 Coulombs of charge pass through a cross-sectional area of the circuit.



To know more about compressor, refer

https://brainly.com/question/30481973

#SPJ11

Horizontal motion

Vf = Vi + at
Vf2 = Vi2 + 2ad
d = Vit + ½ at2

Problem-Solving #01
An object with an initial velocity of 4 / moves in a straight line under a constant acceleration. Three seconds later, its velocity is 14 / .
(a.) How far did the object travel during this time?
• s = u*3 + ½*a*t^2
• = 43 = 1/2 * (10/3)* 3^2
• s = 12 + 10/6 * 9 = 27 meters
(b) What was the acceleration of the object?
• a = 10/3 = 3.333 m/s^2

Problem-Solving #02
A car that is traveling with a velocity of 16.5.m/s accelerates uniformly to a velocity of 37.5 m/s over a time of 2.85 s.

What is the acceleration of the car during this time?

Problem-Solving #03
Suzy is riding her bicycle along the street with a velocity of 8.7 m/s. suddenly, she is being chased by a bulldog. To get away, she accelerates at 1.5m/s2 for 10 s.

What is her final velocity?

Answers

Horizontal motion

Vf = Vi + at

Vf2 = Vi2 + 2ad

d = Vit + ½ at2

1) Problem 01

Given

Vi = 4 m/s

Vf = 14 m/s

t = 3 s

Using the equation

Vf = Vi + at

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is the time taken.

Substituting the given values into the equation, we get

14 m/s = 4 m/s + a * 3 s

Solving for a, we get

a = (14 m/s - 4 m/s) / 3 s

a = 10/3 m/[tex]s^{2}[/tex]

Using the equation:

d = Vit + ½ a[tex]t^{2}[/tex]

Where d is the distance travelled, Vi is the initial velocity, a is the acceleration, and t is the time taken.

Substituting the given values into the equation, we get

d = 4 m/s * 3 s + 1/2 * (10/3m/[tex]s^{2}[/tex] )* [tex](3s)^{2}[/tex]

d = 12 m + 15 m

d = 27 meters

Hence, the object travelled 27 meters during this time, and the acceleration of the object was 10/3 m/[tex]s^{2}[/tex].

2) Problem 02

Given

Vi = 16.5 m/s

Vf = 37.5 m/s

t = 2.85 s

Using the equation:

Vf = Vi + at

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is the time taken.

Substituting the given values into the equation, we get

37.5 m/s = 16.5 m/s + a * 2.85 s

Solving for a, we get

a = (37.5 m/s - 16.5 m/s) / 2.85 s

a = 7.37 m/[tex]s^{2}[/tex]

Hence, the acceleration of the car during this time was 7.37m/[tex]s^{2}[/tex].

3) Problem 03

Given

Vi = 8.7 m/s

a = 1.5 m/[tex]s^{2}[/tex]

t = 10 s

Using the equation

Vf = Vi + at

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is the time taken.

Substituting the given values into the equation, we get

Vf = 8.7 m/s + (1.5 m/[tex]s^{2}[/tex]) * 10 s

Vf = 23.7 m/s

Hence, Suzy's final velocity was 23.7 m/s after accelerating for 10 seconds with an acceleration of 1.5m/[tex]s^{2}[/tex].

To know more about Horizontal motion here

https://brainly.com/question/27977898

#SPJ1

A rock has mass 1.80 kg. When the rock is suspended from the lower end of a string and totally immersed in water, the tension in the string is 11.7 N. Part A What is the smallest density of a liquid in which the rock will float

Answers

he smallest density of a liquid in which the rock will float is 0.553 g/cm³.

When the rock is suspended in water, it displaces an amount of water equal to its own volume, and the weight of the water displaced by the rock is equal to the buoyant force acting on the rock. Therefore, the buoyant force acting on the rock is given by the weight of water displaced, which can be calculated using the mass and density of water:

Buoyant force = weight of water displaced = (mass of rock) x (density of water) x (acceleration due to gravity)

The weight of the rock when it is completely immersed in water is given by its mass times the acceleration due to gravity:

Weight of rock = (mass of rock) x (acceleration due to gravity)

Since the tension in the string is equal to the weight of the rock minus the buoyant force, we can set these two expressions equal to each other and solve for the density of the liquid:

Weight of rock - buoyant force = tension in string

(mass of rock) x (acceleration due to gravity) - (mass of rock) x (density of liquid) x (acceleration due to gravity) = tension in string

(mass of rock) x (acceleration due to gravity) (1 - density of liquid / density of rock) = tension in string

density of liquid / density of rock = 1 - tension in string / (mass of rock) x (acceleration due to gravity)

density of liquid = density of rock x (1 - tension in string / (mass of rock) x (acceleration due to gravity))

Plugging in the given values, we get:

density of liquid = (1.80 kg) / [(11.7 N) / (9.81 m/s²) + (1.80 kg) / (1000 g/kg x 997 kg/m³)]

density of liquid = 0.553 g/cm³ (rounded to three significant figures).

To know more about buoyant force, click here:-

https://brainly.com/question/21990136

#SPJ11

if during a stride, the strecth causes her center of mass to lower by 10 mm, what is the stored energy

Answers

The amount of stored energy in this scenario would depend on several factors, including the mass of the individual and the force applied during the stretch.


Potential Energy (PE) = mass (m) × gravity (g) × height (h)


PE = 60 kg × 9.81 m/s² × 0.01 m
PE = 5.886 J (Joules)

So, the stored energy is approximately 5.886 Joules when the center of mass lowers by 10 mm during a stride.

Learn more about energy here : brainly.com/question/1932868

#SPJ11

[20 pts] determine the maximum deflection and maximum slope of the cantilevered beam use e = 200 gpa and i = 65.0 x 106 mm4

Answers

The cantilevered beam's maximum deflection is (5 * wL4) / (384 * E * I), or roughly 0.0806 * wL4 / I. The maximum slope of the beam is (wL3) / (24 * E * I).

Which is roughly equivalent to 0.000325 * wL3 / I, where w is the uniform load, L is the beam's length, E is its elastic modulus, and I is its moment of inertia. Equations derived from the bending moment equation of the beam can be used to determine the maximum deflection and maximum slope of a cantilevered beam. These equations consider the applied load, the length of the beam, and the parameters of the beam, such as its moment of inertia and modulus of elasticity. As you proceed along the length of the beam towards the point where it is supported, the deflection and slope are at their highest at the fixed end of the beam. These calculations are crucial to make sure the beam is built to sustain the anticipated load without failing or deforming outside of acceptable bounds.

learn more about cantilevered here:

https://brainly.com/question/29290377

#SPJ11

2. the wave Speed is 0.25m/s and the cark moves
Up and down 4 times in 8 seconds.
Caculate The
wavelength?

Answers

Since we don't know the frequency, we can't give a specific numerical value for the wavelength. But by using another we can get wavelength = 0.25m/s / frequency as wavelength.

To calculate the wavelength, we need to use the formula:

wavelength = wave speed/frequency

However, the frequency is not given in the question. Therefore, we need to use another formula that relates frequency to the speed and wavelength:

frequency = wave speed/wavelength

We can rearrange this formula to solve for wavelength:

wavelength = wave speed/frequency

Substituting the given wave speed of 0.25m/s, we have:

wavelength = 0.25m/s / frequency

However, we can say that the wavelength will be inversely proportional to the frequency. This means that if the frequency is high, the wavelength will be short, and vice versa.

For more such questions on wavelength:

https://brainly.com/question/31143857

#SPJ11

A rider is training a horse. Horse moves 60 metres towards right in 3 seconds. Then it turns back and travels 30 metres in 2 seconds. Find its average velocity and show your working?
A. 6 m/s
B. 18 m/s
C. 35 m/s
D. Zero​

Answers

Answer:

We can use the formula for average velocity, which is:

average velocity = total displacement / total time

The total displacement is the net distance and direction of the horse's motion. If we take "towards right" as the positive direction, then the horse's displacement is:

total displacement = 60 m towards right - 30 m towards left = 30 m towards right

The total time is the sum of the two time intervals:

total time = 3 s + 2 s = 5 s

Now we can plug in the values and calculate:

average velocity = total displacement / total time

average velocity = 30 m / 5 s

average velocity = 6 m/s

Therefore, the answer is A. 6 m/s.

Answer:

The answer is A which is 6m/s

Explanation:

Avg. Velocity = Total Displacement/total time

displacement = 30 metres

time= 5 seconds

then Avg. Velocity= 30/5=6m/s

your answer will be 6m/s

A typical arteriole has a diameter of 0.030 mm and carries blood at the rate of 5.5 x 10-6 cm3/s. (a) What is the speed of the blood in an arteriole

Answers

The first step is to calculate the cross-sectional area of the arteriole using its diameter (0.030 mm). The formula for the cross-sectional area of a circle is A = πr^2, where r is the radius of the circle. Therefore, the cross-sectional area of the arteriole is A = π(0.015 mm)^2 = 0.0007069 mm^2.

Next, we can convert the blood flow rate from cm^3/s to mm^3/s by multiplying by 1000 (since there are 1000 mm^3 in 1 cm^3). Therefore, the blood flow rate in the arteriole is 5.5 x 10^-3 mm^3/s.

To find the speed of the blood in the arteriole, we can use the formula v = Q/A, where v is the speed, Q is the flow rate, and A is the cross-sectional area. Substituting in the values we found, we get v = (5.5 x 10^-3 mm^3/s) / (0.0007069 mm^2) = 77.79 mm/s.

Therefore, the speed of the blood in a typical arteriole is approximately 77.79 mm/s. This answer is within the 100 word limit.
To find the speed of the blood in an arteriole, we need to use the formula:

Speed = Flow rate / Cross-sectional area

First, let's convert the given diameter (0.030 mm) to centimeters and find the radius of the arteriole:

Diameter = 0.030 mm = 0.003 cm
Radius = Diameter / 2 = 0.003 cm / 2 = 0.0015 cm

Now, let's calculate the cross-sectional area of the arteriole using the formula for the area of a circle (A = πr²):

A = π(0.0015 cm)² ≈ 7.07 x 10⁻⁶ cm²

We are given the flow rate as 5.5 x 10⁻⁶ cm³/s. Now, let's find the speed:

Speed = (5.5 x 10⁻⁶ cm³/s) / (7.07 x 10⁻⁶ cm²) ≈ 0.777 cm/s

So, the speed of the blood in an arteriole is approximately 0.777 cm/s.

For more information on cross-sectional area visit:

brainly.com/question/20532494

#SPJ11

In the time between two closest approaches to Earth, Venus rotates almost exactly five times relative to the Sun. The consequence of this is that:

Answers

Venus rotates very slowly on its axis, taking about 243 Earth days to complete a single rotation.

In addition, Venus's orbit around the Sun is shorter than Earth's, so the two planets periodically come close to each other in their respective orbits. During these close approaches, Venus appears as a bright, luminous object in the sky. However, because Venus rotates almost exactly five times relative to the Sun during the time between two closest approaches to Earth, it always presents nearly the same face to Earth when it is visible in the sky. This makes it difficult to observe and study the full range of Venus's surface features and geology. The fact that Venus rotates so slowly and in the opposite direction to most planets has also been the subject of scientific interest and investigation.

Learn more about “ Venus rotates “ visit here;

https://brainly.com/question/15061698

#SPJ4

The _______ is easier to use than a(n) ________ because it does not require any battery cables to be removed; it is quickly clamped around the main starter cable.

Answers

The battery load tester is easier to use than a multimeter because it does not require any battery cables to be removed; it is quickly clamped around the main starter cable. A battery load tester is a device used to assess the health of a car battery by measuring its ability to produce current under load. This is crucial in determining whether the battery can provide the necessary power to start a vehicle, particularly in challenging conditions.

In contrast, a multimeter is a versatile tool for measuring various electrical parameters, such as voltage, current, and resistance. To use a multimeter for battery testing, the battery cables must be disconnected, and the probes must be attached to the battery terminals. This process can be time-consuming and may pose safety risks if not performed correctly.

The battery load tester simplifies the testing process by eliminating the need to remove cables, allowing for a more user-friendly and efficient assessment of the battery's health. Additionally, the battery load tester's specific design for battery testing ensures accurate results, while a multimeter, being a general-purpose tool, might not provide the same level of precision.

Learn more about multimeter here:

https://brainly.com/question/29442319

#SPJ11

Other Questions
When you slam on your brakes you are applying roughly a constant force. If you are driving at some speed and slam your breaks for a time, t, you will stop over a distance d. What if you slam your brakes to stop at twice the speed, how much will the distance increase When computing net present value after tax, income tax expense is ______. Multiple choice question. ignored treated like every other cash flow computed without considering depreciation expense PLS HELP I WILL GIVE 100 POINTSRead the Petrarchan sonnet "Sonnets are full of love, and this my tome" by Christina Rossetti. In a well-written paragraph of 57 sentences, explain how the structure of the poem affects its meaning. Be sure to discuss the meter, rhyme scheme, shift, and couplet.Sonnets are full of love, and this my tomeHas many sonnets: so here now shall beOne sonnet more, a love sonnet, from meTo her whose heart is my heart's quiet home,To my first Love, my Mother, on whose kneeI learnt love-lore that is not troublesome;Whose service is my special dignity,And she my loadstar while I go and come.And so because you love me, and becauseI love you, Mother, I have woven a wreathOf rhymes wherewith to crown your honored name:In you not fourscore years can dim the flame Of love, whose blessed glow transcends the laws Of time and change and mortal life and death. General Motors pays the producers of the Transformers movies to feature its cars in each new release. This is an example of A common childhood disorder characterized by inattention, impulsiveness, and a low tolerance for frustration is Natural selection acts on populations through a specific trait.Which statement must be true about that trait?O The trait is passed on genetically to the next generation.O The trait is resistant to mutations.O Most forms of the trait have the same impact on survival.O The trait is the same for all organisms. Your friend's parent served two tours of duty in conflict areas of Afghanistan. As a result of exposure to trauma while serving, your friend's parent developed an anxiety disorder commonly referred to as: There are 10 students in a class. 4 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible A gas sample occupying a volume of 74.9 mL at a pressure of 0.809 atm is allowed to expand at constant temperature until its pressure reaches 0.425 atm. What is its final volume If European tourists flock to the United States in large numbers, then this event is most likely to cause the European euro to: which angiotensin-converting enzyme inhibitors are appropriate fora client with liver dysfunction When customers perceive that a good or service delivers value above and beyond their expectations, it is known as _____. The Jungle Gym returned merchandise that was purchased on account to Footware Wholesale, $750. The journal entry for The Jungle Gym to record this transaction is WILL GIVE BRAINLIEST!!!! Explain the reasons for U.S. neutrality during the 1920s and 1930s. How did ideas about neutrality change during the period from the end of World War I to the passage of the Lend-Lease Act? Be sure to include any events, terms, or people that may support your response.In your opinion, what was the point at which U.S. actions were no longer neutral? Explain your reasoning with supporting details from the lesson.Criticize or defend each of the U.S. actions surrounding World War II that are listed below. Justify your opinion with supporting details from the lesson.1st Neutrality ActCash and CarryU.S aid to ChinaLend-Lease Act The current traveling from the cathode to the screen in a television picture tube is 5.0 x 10-5 amperes. How many electrons strike the screen in 5 seconds In the balanced scorecard management process, the step in which the company examines its competitive environment and identifies potential competitive advantages is called the __________ step. 4. Calculate the number of moles in each of the following quantities:b. 1.06 x 1023 atoms of tungsten company has total sales of $1,430,000. Fixed expenses are $657,000 and the contribution margin ratio is 67%. Company profit (loss) is Monochromatic light passes through two parallel slits in a screen and falls on a piece of film. The pattern produced is an example of: g There are six firms operating in an industry. The market shares of the firms, in no particular order, are as follows: 20, 15, 10, 10, 20, and 25. The four firm concentration ratio (CR4) for this industry is equal to: