17. Suppose you attach the object with mass m to a vertical spring originally at rest, and let it bounce up and down. You release the object from rest at the spring’s original rest length. (a) Show that the spring exerts an upward force of 2.00mg on the object at its lowest point. (b) If the spring has a force constant of 10.0N/m and a 0.25-kg-mass object is set in motion as described, find the amplitude of the oscillations. (c) Find the maximum velocity.

Please show all of your work.

Answers

Answer 1

Answer:

See below ↓

Explanation:

Step 1 : Diagram

In attachment

Step 2

We choose the system to be the spring, the block, and the Earth and it is isolatedWe put all the data in the figure we have created and create a zero level (initial height) of the block to be yₓ = 0 and the final position, when it stops and moves upwards again, to be yₙ = -ANo external forces are exerted on the system and no energy comes in or out of the systemHence,

⇒ ΔE = 0

⇒ Eₙ - Eₓ = 0

⇒ Eₙ = Eₓ

⇒ Kₙ + Uₙ + Pₙ = Kₓ + Uₓ + Pₓ

Final kinetic energy is 0 at the lowest point

⇒ Uₙ + Pₙ = Uₓ + Pₓ

Step 3

Initial potential energy is 0 [zero level = initial height]

⇒ Uₙ + Pₙ = Uₓ

And we know that spring was originally at normal length, so initial spring energy is also 0

⇒ Uₙ + Pₙ = 0

⇒ 1/2kxₙ² + mgyₙ = 0

⇒ 1/2kxₙ² = -mgyₙ

We know xₙ = A and yₙ = -A from the diagram

⇒ 1/2kA² = -mg(-A)

⇒ 1/2kA² = mgA

⇒ [1/2kA = mg]

Step 4

Spring force is given by : F = -kxNote : x = A

⇒ F = kA

⇒ k = F/A

⇒ Plug 'k' into the equation found at the end of Step 3

⇒ 1/2(F/A)(A) = mg

⇒ 2F = mg

F = 2mg (a)

Step 5

We know the spring will stop oscillating and be at rest at the new equilibrium position of the system

⇒ F - mg = 0

⇒ F = mg

We know that :

⇒ F = -kx

In the case x = yₙ

⇒ kyₙ = mg

⇒ yₙ = mg/k

⇒ yₙ = 0.25 x 9.8 / -10

⇒ yₙ = -0.245 m

⇒ yₙ = A

⇒ yₙ = 0.245 m (b)

Step 6

v(max) = Aωv(max) = A√k/mv(max) = 0.245 x √(10/0.25)v(max) = 1.55 m/s (c)
17. Suppose You Attach The Object With Mass M To A Vertical Spring Originally At Rest, And Let It Bounce

Related Questions

Do u think heaven is real?

Answers

Answer:

Yes, heaven is for real – and it is heaven, indeed, because we have the hope and assurance of meeting Jesus face-to-face. In the meantime, let’s not just read books and watch movies about the reality of heaven – let’s tell as many people as we can, as often as we can, about the place that will be greater than we can possible imagine.

Consider the following statements. A. Heat flows from an object in liquid state to an object in solid state; B. Heat flows from an object with higher thermal energy to one with lower thermal energy; C. Heat flows from an object at higher temperature to an object at lower temperature. Which statements are true? 1. A and B only 2. C only 3. None is true. 4. All are true. 5. A and C only 6. A only 7. B and C only 8. B only

Answers

The following statements regarding heat transfer are true:

Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperature

What is heat transfer?

Heat transfer is the movement of heat from one body to another due to difference in temperature between the bodies and its surroundings.

Heat transfer occurs in every body which is made up of atoms and molecules.

However, heat can only be transferred from regions of higher temperature to lower temperature.

Therefore, the following statements regarding heat transfer are true:

Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperature.

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Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?

Answers

The direction of the angular velocity of the single wheel is the clockwise direction

Angular velocity

The angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where

v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheel

Since the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction

So, the direction of the angular velocity of the single wheel is the clockwise direction

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The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.

What is angular velocity?

The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.

[tex]\omega = \dfrac vr[/tex]

where v is the velocity and r is the radius.

The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.

Hence, the direction of the angular velocity of the single wheel is clockwise.

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A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?

Answers

If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.

Conservation of linear momentum

The principle of conservation of linear momentum states that, the total momentum of an isolated system is constant.

The downward velocity of thes gases is calculated as follows;

v1(m1 + m2) = v2(m2)

305(1000 + 25) = v2(25)

312,625 = 25v2

v2 = 312,625/25

v2 = 12,505 m/s

Thus, If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.

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please hurry I will be forever grateful <3

List some advantages and disadvantages of series and parallel circuits.​

Answers

Advandages:

1. Every unit that is connected in a parallel circuit gets equal amount of voltage.

2. It becomes easy to connect or disconnect a new element without affecting the working of other elements.

3. If any fault happened to the circuit, then also the current is able to pass through the circuit through different paths.

Disadvantages:

1. It requires the use of lot of wires.

2. We cannot increase or multiply the voltage in a parallel circuit.

3. Parallel connection fails at the time when it is required to pass exactly same amount of current through the units.

a car of mass 850kg hits a crash barrier at a speed of 30m/s . the car stops in 0.4s.calculate the force of the car.​

Answers

Given :- Mass of Car = 850 kginitial speed,u = 30 m/sTime span in which car stop = 0.4 s

To Find :-force on car

Solution:-

During the collision an impulse is created which due to which is equal to change in momentum.

Mathematically,

[tex]\green{ \underline { \boxed{ \sf{Impulse, F\times t = m (v-u) }}}}[/tex]

where

F = forcet = time span m = massv= final speedu = initial speed

Now,

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times (0-30) \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times -30 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -\frac{25500}{0.4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -63750 N \\\end{gathered} [/tex]

[tex]\quad\quad\quad\quad\quad\quad[/tex](-ve sign denotes opposite direction)

Therefore, a force of 63750 Newton will act on the car in opposite direction.

explain why the age of the ocean floor bedrock increases as the distance from the mid-atlantic ridge increases?

Answers

Answer:

The age of the bedrock increases the further you get away from the mid atlantic ridge because it is at the ridge that the new bedrock is formed. At the Ridge, the diverging plates cause magma to rise up and harden, forming new bedrock. As this happens, the older bedrock is pushed outwards, further and further away from the Ridge.

Explanation:

Hope it helps.

Is an electron cloud bigger than an atom?

Answers

Answer:

no

Explanation:

An electron is one of the components of an atom, so it cannot be larger than that.

Answer:

No, it's not.

Explanation:

The tightly packed nucleus is 100,000 times smaller than the electron cloud.

what other fees are associated with each credit card

Answers

Answer:

Finance costs (also known as interest fees) aren't added to your account in a set amount like other fees.

OR

A credit card is a payment card that is issued to users to allow them to pay a merchant for products and services depending on their outstanding debt. The card issuer opens a revolving account for the cardholder and provides a line of credit from which the cardholder can borrow money to pay a merchant or get a cash advance. Consumer credit cards and business credit cards are the two types of credit cards available. The majority of the cards are plastic, however, there are a few metals and gemstone-encrusted metal cards.

Explanation:

Particle q1 has a charge of 2.7 μc and a velocity of 773 m/s. if it experiences a magnetic force of 5.75 × 10–3 n, what is the strength of the magnetic field? t in the same magnetic field, particle q2 has a charge of 42.0 μc and a velocity of 1.21 × 103 m/s. what is the magnitude of the magnetic force exerted on particle 2? n

Answers

1)The strength of the magnetic field for particle 1 will be 2.8 T.

2)The magnitude of the magnetic force exerted on the particle will be 0.12 N.

What is a magnetic field?

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.

The given data in the problem is;

q₁ has a charge = 2.7 μc

v₁ is the velocity of particle 1 = 1 773 m/s.

F is magnetic force = 5.75 × 10–3 n,

q₂ has a charge of 42.0 μc

v₂ is the velocity of 1.21 × 103 m/s.

[tex]\rm F_{B2}[/tex]   is the magnitude of the magnetic force exerted on particle 2=?

The megnetic force for case 1 is found as;

[tex]\rm F_{B1}= qvB SIN \alpha_1 \\\\ 5.75 \times 10^{-3} =2.7 \times 10^{-6}\times 773 \times B sin 90^0 \\\\ B=\frac{5.75 \times 10^{-3}}{2.7 \times 10^{-6} \timesd 773 \times sin 90^0} \\\\ B=2.8 \ T[/tex]

The megnetic force for case 2 is found as;

[tex]\rm F_{B2} = q_2v_2bsin \alpha_2 \\\\ 42\times 10^{-6} \times 1.21 \times 10^3 \times 2.8 \times sin 55^0 \\\\ F_{B2}=0.12 T[/tex]

Hence the value of the megnetic force exerted on particle 2 will be 0.00122 T.

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Answer:

last one and second one

Explanation:

Particle q1 has a charge of 2.7 μC and a velocity of 773 m/s. If it experiences a magnetic force of 5.75 × 10–3 N, what is the strength of the magnetic field?

2.8

T

In the same magnetic field, particle q2 has a charge of 42.0 μC and a velocity of 1.21 × 103 m/s. What is the magnitude of the magnetic force exerted on particle 2?

0.12

N

The key differences between rotational kinematics and translational kinematics is: A. Rotational kinematics must specify an axis of rotation and objects return to their initial position with successive revolutions. B. Rotational kinematics must specify an axis of rotation and is only applied to rigid objects, not particles. C. Rotational kinematics analyzes both the tangential acceleration as well as the centripetal acceleration and translational kinematics analyzes only the tangential acceleration. D. Rotational kinematics must specify an axis of rotation and uses only dimensionless units

Answers

In Translational motion, the body moves in a straight line whereas in Rotational motion, the body moves in a circular path.

Differences between rotational kinematics and translational kinematics

In Translational motion, the body moves in a straight line and the body same displacement in equal interval of time while on the other hand, in Rotational motion, the body moves in a circular path and the body travels same angular displacement in equal interval of time..

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where is A what is the answer?

Answers

A is nowhere to be found

Velocity of an object of mass 5 kg increases from 3 m/s to 7 m/s on applying a force continuously for 2 s. Find out the force applied. If the duration for which force acts is extended to 5 s, what will be the velocity of the object then?​

Answers

Answer:

Force=10N

Velocity=13m/s

Explanation:

Given,

Mass = 5kg

initial velocity=3m/s

Final velocity=7m/s

Time=2s

Now acceleration= v-u/t

=7-3/2

=4/2

=2m/s²

So, acceleration=2m/s²

Now,

F=ma

=5*2

=10N

A student makes this statement before conducting an experiment on electromagnetic radiation: "We expect the laser to diffract when passed through a slit." Which of the following explains why the student's statement is not a claim?


(1 point)

It is a prediction or hypothesis.


It cannot be verified experimentally.


It is part of the evidence to support a claim.


It is a description of the experimental results.

Answers

Answer:

it is a prediction or hypothesis4

A 20 kω resistor is connected in series with an initially uncharged 100 μf capacitor and a 5 v battery. What is the charge on the capacitor when the circuit has reached steady state?

Answers

Hi there!

We can use the equation for the charge of a charging capacitor:
[tex]q(t) = C\epsilon( 1 - e^{-\frac{t}{RC}})[/tex]

Using Capacitor equations:
[tex]C = \frac{Q}{V}}\\\\Q = CV[/tex]

Therefore, Cε equals the steady-state charge of the capacitor (the function approaches this value as t ⇒ ∞.


We can plug in the givens and solve.
[tex]\epsilon = 5 V\\\\C = 100\mu F = 0.0001 F[/tex]

[tex]Q = C \epsilon = (0.0001)(5) = \boxed{0.0005 C}[/tex]

The charge on the capacitor when the circuit has reached a steady-state is 0.0005C.

What is capacitance?

The capacitance of a conductor is defined as the ratio of the quantity of electric charge stored on it to the difference in electric potential.

Given that the resistance of the resistor is 20 kω, while the capacitance of the capacitor is 100 μf, and the voltage of the battery is 5V.

Now, the charge on the capacitor when the circuit has reached a steady-state can be written as,

[tex]Q=CV\\\\Q = 100\mu F \times 5V\\\\Q = \dfrac{100}{1,000,000}F \times 5V\\\\Q = 0.0005C[/tex]

Hence, the charge on the capacitor when the circuit has reached a steady state is 0.0005C.

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Identify the names, charges, and location of three types of subatomic particles that make up an atom.

Answers

Answer:Proton (charge of +e, in the nucleus), Neutron (0 charge, in the nucleus), and Electron (charge of –e, outside the nucleus).Nov 13, 2015

Explanation: YA

Protons are positive and in the center ( nucleus)


Neutrons have no charge and are also in the center (nucleus)


Electrons are negative and orbit around the nucleus


While on an ice-fishing trip, you find yourself holding a 10 kg fish but stuck in the middle of
the lake. The ice is perfectly smooth and you cannot walk or shuffle your feet towards the
shore. But because you understand Newton's Laws, you are still able to make it back to shore. A
Briefly explain what did you did. Why did it worked? (Please include directional words such as
up/down, towards/away from shore, left/right, etc.)

Answers

The forward force you exert on the fish and your backward action will allow you to reach the shore.

Newton's third law of motion

Newton's third law of motion states that for every action, there is an equal and opposite reaction.

Fa = -Fb

Let's assume the fish is held in the hook, this will give you the opportunity to throw the fish forward while still holding it.

When the the fish is thrown forward, you will move backwards with an equal force based on Newton's third law. Your backward momentum towards the shore will help to maintain equal linear momentum between you and the fish.

Thus, this forward force of the fish and your backward action will allow you to reach the shore.

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What state of matter (solid, liquid or gas) are most metals?

Answers

Answer:

Solid

Most solids are metals

Answer:

solid

Explanation:

Solid is the most common state of matter in most metals at room temperature.

Water has a heat capacity or 4.184 j/g C. If 50 g of water has a temperature of 30C and a piece of hot copper is added to the water causing the temperature to increase to 70C. What is the amount of heat absorbed by the water.

Answers

Answer:

Ethanol C2H5OH or propane C3H8 have more energy

Explanation:

The earliest stage of a star’s life before it begins to undergo fusion is known as:

Answers

Answer:

A protostar is the earliest stage of a star's life. A star is born when the gas and dust from a nebula become so hot that nuclear fusion starts.

The origin of star is called nebula. The earliest stage of a star’s life before it begins to undergo fusion is known as a protostar.

What is the earlier stage of star ?

Every star begins from nebula. A nebula is a huge gas and dust cloud. Some of the gas and dust in a nebula can be drawn together by gravity. The cloud's contraction is then described as a protostar. The first stage of a star's life is called a protostar.

As the gas and dust from a nebula heat up to a point where nuclear fusion begins, a star is created. A star is referred to as a main sequence star once it has "switched on". A main sequence star turns into a red giant or a red super giant when its hydrogen fuel runs exhausted.

An exploding red super massive star is possible. It is referred to be a supernova. After the star explodes, some of the ingredients from the star are left behind. Hence, the earlier stage of a star before fusion starts is called a protostar.

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A uniform solid sphere has mass m= 7 kg and radius r= 0. 4 m. What is its moment of inertia about an axis tangent to its surface?

Answers

The moment of inertia of a uniform solid sphere is equal to 0.448 [tex]kgm^2[/tex].

Given the following data:

Mass of sphere = 7 kg.

Radius of sphere = 0.4 meter.

How to calculate moment of inertia.

Mathematically, the moment of inertia of a solid sphere is given by this formula:

[tex]I=\frac{2}{5} mr^2[/tex]

Where:

I is the moment of inertia.m is the mass.r is the radius.

Substituting the given parameters into the formula, we have;

[tex]I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16[/tex]

I = 0.448 [tex]kgm^2[/tex].

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Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its rightmost point. what is the period of the pendulum

Answers

The time period of the simple pendulum is 2.4 seconds.

Given the data in the question;

Time taken to swing from leftmost point to rightmost point; [tex]t = 1.2s[/tex]Period of the pendulum; [tex]T = \ ?[/tex]

What is Period?

Period is the time needed for a complete cycle of vibration to pass a given point.

Period of a pendulum is the of time needed for it to complete one full back-and-forth motion. It is the time required to for the pendulum to swing from leftmost point to rightmost point and back to leftmost point.

Now, if it took the pendulum [tex]1.2s[/tex] to swing from leftmost point to rightmost point, it will also take the pendulum [tex]1.2s[/tex] to swing back to its original position( leftmost point )

Hence,

[tex]T[/tex] = time taken to swing from leftmost to rightmost + time taken to swing from rightmost point to leftmost point.

[tex]T = 1.2s + 1.2s\\\\T = 2.4s[/tex]

Therefore, the time period of the simple pendulum is 2.4 seconds.

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A 1500kg car moving at a speed of 20.1m/s comes toa stop after travelling a distance of 200m. What was the average force exerted by the breaks on the car?​

Answers

Answer:

= -1515N

Explanation:

v^2=u^2+2as

0m/s

u=20.1m/s

0=(20.1)^2+(2xax200)

0=404.01+400a

-404.01=400a

-404.01÷400=a

a= -1.01m/s^s

its negative because the force is slowing down the car

Newton's second law of motion

F=ma

=1500×-1.01

F= -1515N

Which describes the vector calculation giving the magnetic force on a charged particle moving through a magnetic field?.

Answers

Which describes the vector calculation giving the magnetic force on a charged particle moving through a magnetic field? It is the cross product of the velocity vector and the magnetic field vector, which gives a vector perpendicular to those vectors.

What is the speed of a wave that has a frequency of 173 Hz and a wavelength of 2. 59 meters? Express your answer to the nearest whole number. M/s.

Answers

The speed of the wave will be v= 448.07 m/s

What is speed of the wave?

The speed of the wave is defined as the distance traveled by the wave with respect to the time.

The frequency is defined as the number of cycles per seconds it is calculated in hertz

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

Now frequency = 173 hertz

wavelength = 2.59 m

The velocity will be given by the formula:

[tex]v=\lambda\times f[/tex]

[tex]v=173\times 2.59=488.07 \ \frac{m}{s}[/tex]

Thus the speed of the wave will be v= 448.07 m/s

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Red light has a wavelength of (7. 21x10^7)m. What is the frequency of this light?

Answers

Answer:

TO answer this question i need wave speed

Explanation:

At a distance of 1.0 A.U. The earth takes 1.0 year to travel around the sun how far away is a planet that takes 64 years ro go around the sun

Answers

Answer:

This is from another brainly question so I hope this helps :)

The earth takes 1 year to orbit the sun and is about 150, 000, 000km. Given that, use the rule of 3 to find your answer:

1 - 150, 000, 000

64 - x

(150, 000, 000 * 64) / 1= x

9, 600, 000, 000 / 1

9, 600, 000, 000 km.

A planet located 9, 600, 000, 000 km from the sun takes about 64 years to complete its orbit around the sun.

what does the word Cala stands for​

Answers

Answer:

Caribbean and Latin America Region

Explanation:

Use the drop-down menus to complete the statement. if an electric circuit has 0 a of current running through it, then the must be .

Answers

If an electric circuit has zero Ampere (0A) of current running through it, then the voltage must be zero.

What is ohm's law?

At constant temperature, Ohm's law says that the current flowing through an electric circuit is directly proportional to the voltage

Also, the current flowing through an electric circuit is inversely proportional to the resistance in the electric circuit.

This means that the magnitude of voltage (potential difference) is significantly reliant on the value of current flowing through an electric circuit.

This formula expresses Ohm's law mathematically.

V=IR

Where:

V is the voltage is measured in volts.

I denote the current in amperes.

R denotes the resistance in ohms.

Finally, if an electric circuit has zero ampere (0A) of current flowing through it, the voltage must also be zero.

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Answer:

voltage, zero

Explanation:

What resource is used to make fertilizers and other products such as toothpaste and insecticides?

Coal
Limestone
Phosphate
Silica

Answers

Answer:

Silica

Explanation:

The most commonly used abrasives are hydrated silica (softened silica), calcium carbonate (also known as chalk), and sodium bicarbonate (baking soda).

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