Two identical twins, Sallie and Serena, are playing one December on a large merry-go-round (a disk mounted parallel to the ground on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has a mass of 30.9 kg. The icy coating on the merry-go-round surface makes it frictionless. The merry-go-round revolves at a constant rate as the twins ride on it. Sallie, sitting a distance 1.85 m from the center of the merry-go-round, must hold on to one of the metal posts attached to the merry-go-round with a horizontal force of 59.0 N to keep from sliding off. Serena is sitting at the edge, a distance of 3.64 m m from the center; Serena must also hold on to a metal post on the merry-go-round to keep from sliding off.
Required:
What is the ratio of Serena?s speed to Sallie's speed (both speeds are measured by a stationary observer watching the spinnning merry-go-round)?

Answers

Answer 1

For a twin mass of 30.9 kg, sitting at a distance of 1.85 m, with a horizontal force of 59.0 N  the ratio of Serena's speed to Sallie's speed  is mathematically given as

V= 2.06:1

What is the ratio of Serena's speed to Sallie's speed (?

Generally, the equation for the velocity   is mathematically given as

v = w r

Therefore

[tex]\frac{v serena}{vsallie} = \frac{r serena}{r sallie}[/tex]

V= 3.63/1.76

V= 2.06

In conclusion,  the ratio is

V= 2.06:1

Read more about Speed

https://brainly.com/question/4931057


Related Questions

ions, giving canoe 1 a speed of 0.58 m>s and canoe 2 a speed of 0.42 m>s. If the

Answers

Answer:

Draw a table showing the different forms of the first law for the four processes described.

Select the correct answer. Based on the law of conservation of energy, which statement is correct? O A. Energy is always being added to all parts of the Universe. O B. Energy is often destroyed in some parts of the Universe. O C. Energy in a closed system cannot change forms. O D. Energy in an isolated system remains constant.

Answers

Answer:

d. energy in an isolated system remains constant.

Explanation:

energy can neither be replaced or destroyed

A pendulum bob has it maximum speed at 3ms at the lowest position 0. Calculate the height of the bob above 0,where it velocity is 0​

Answers

Hello!

We know that at the BOTTOM of the pendulum's trajectory, the bob has a maximum speed. This means that its KINETIC ENERGY is at a maximum, while its Gravitational POTENTIAL ENERGY is at a minimum.

On the other hand, when the bob is at its highest points, the bob has a velocity of 0 m/s, so its KE is at a minimum and its PE is at a maximum.

We can use the work-energy theorem to solve. Let the Initial Energy equal the bob's energy at one of the sides, while the final Energy equals the bob's energy at the bottom.

[tex]E_i = E_f\\\\PE = KE[/tex]

Recall that:
PE = mgh

m = mass (kg)

g = acceleration due to gravity (m/s²)

h = height (m)

KE = 1/2mv²

m = mass (kg)

v = velocity (m/s)

Set the two equal and solve for 'h'.

[tex]mgh = \frac{1}{2}mv^2[/tex]

Cancel mass.

[tex]gh = \frac{1}{2}v^2[/tex]

Solve for 'h'.

[tex]h = \frac{v^2}{2g}\\\\h = \frac{3^2}{2(9.8)} = \boxed{0.459 m}[/tex]

Find out the three methods of energy transfer (conduction, convection and radiation). think about
2 situations of daily life where you know or think you know that each one applies

Answers

Explanation:

conduction- putting a metal spoon in fire

convection- boiling water. In ventilation

Radiation- suns heat reaches us by radiation. heat from fire place reaches us by radiation.

match each term to its definition.
the vocabulary
Volt
electric potential energy
electric potential difference
electric potential

the definitions

the SI unit of electric potential difference
difference in electric potential between two positions
potential energy an electric charge has due
to its location in a field
electric potential energy of a charged particle divided by its charge
here are the answers

Answers

Electric potential difference is the difference in electric potential between two positions and it is measured in volts.

What is electric potential energy?

This is the potential energy of an electric charge has due to its location in a field.

What is electric potential?

The electric potential of a charged particle is the electric potential energy of the charged particle divided by its charge magnitude.

What is electric potential difference?

Electric potential difference is the difference in electric potential between two positions.

What is volt?

Volt is the SI unit of electric potential difference.

Learn more about electric potential here: https://brainly.com/question/14306881


Examine the image below:
Which term describes the wave phenomenon in the image?

Answers

Answer:

C

Explanation:

Reflection.

You are riding a bicycle up a gentle hill. It is fairly easy to increase your potential
energy, but to increase your kinetic energy would be harder.
True or false

Answers

True or false: while riding a bicycle up a gentle hill, it fairly easy to increase your potential energy, but to increase your kinetic energy would ...

. A rope is being used to pull a mass of 10 kg vertically upward. Determine the tension on the rope, if starting from rest, the mass acquires a velocity of 4 ms-1 in 8s [g= 10ms-2]

Answers

[tex]\text{Given that,}\\\\\text{Mass, m =10 kg}\\\\\text{Time, t = 8 sec}\\\\\text{Velocity, v = 4~m/s}\\\\\text{When a body is moving upwards,}\\\\\text{Tension,}~ T=mg +ma\\\\~~~~~~~~~~~~~~~=mg+m\left(\dfrac{v-u}t \right)\\\\~~~~~~~~~~~~~~~=10(10)+10\left(\dfrac{4-0}8\right)\\\\~~~~~~~~~~~~~~~=100+10\left(\dfrac 12\right)\\\\~~~~~~~~~~~~~~~=100+5\\\\~~~~~~~~~~~~~~~=105~N[/tex]

An experiment is set up as follows:
A mass m = 9.4kg is sent down a frictionless ramp with an initial velocity of 2.5m/s. The ramp is 87cm
long and has an angle of 36°above the horizontal. At the bottom of the ramp is a horizontal surface with a
kinetic friction coefficient of μk = 0.27. At the far side of the horizontal surface, 48cm away, is a spring with
k-constant ks = 3,413.7N
m that will be compressed as the mass collides with the spring. The experiment
ends as the spring is fully compressed and the mass is at rest.
Note: The distance that the spring is compressed is in addition to the 48cm.
7) Find the initial energy of the mass. (10pts)
8) How far will the spring compress if there is no surface friction under the spring? (10pts)
9) How far will the spring compress if the surface friction continues under the spring? (20pts)

Answers

(a) The initial energy of the mass is 76.485 J.

(b) The compression of the spring in the absence of friction is 21.2 cm.

(c)  The compression of the spring in the presence of friction is 19.4 cm.

Initial energy of the mass

The initial energy of the mass is determined as follows;

E = K.E + P.E

E = ¹/₂mv² + mgh

where;

h is the height of the ramp

E = ¹/₂mv²  + mg x Lsinθ

P.E = ¹/₂(9.4)(2.5)² +  (9.4)(9.8)(0.87)(sin36)

P.E = 76.485 J

Compression of the spring when there is no surface tension

The compression of the spring in the absence of friction is calculated as follows;

Ux = E

¹/₂kx² = 76.485

kx² = 2(76.485)

x² = (2 x 76.485)/k

x = √(2 x 76.485)/k

x = √(2 x 76.485 / 3413.7)

x = 0.212 m

x = 21.2 cm

Compression of the spring in presence of friction

The compression of the spring in the presence of friction is determined by applying the principle of conservation of energy.

E - Fd = Ux

E - μmgd = ¹/₂kx²

76.11 - (0.27 x 9.4 x 9.8 x 0.48) = ¹/₂(3413)x²

64.17 = 1706.5x²

x² = 0.0376

x = √0.0376

x = 0.194

x = 19.4 cm

Learn more about conservation of energy here: https://brainly.com/question/166559

The gauge pressure in a balloon in measured by means of an open-tube manometer that uses water (density=1.00×103 kg/m3) . What gauge pressure is indicated by a difference of 0.0171 m in the heights of the water columns?

Answers

The gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is 167.58 Pa.

Gauge pressure of the balloon

The gauge pressure in the balloon is the pressure inside the balloon due to the water columns relative to the atmospheric pressure.

The gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is calculated as follows;

P = ρgΔh

P = (1,000)(9.8)(0.0171)

P = 167.58 Pa

Thus, the gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is 167.58 Pa.

Learn more about gauge pressures here: https://brainly.com/question/6984092

A man of mass 70 kg climbs stairs of vertical height 2.5m. Calculate the work done against the force of gravity. (Take g = 9.81 ms?)​

Answers

Answer:

1716.75 J

Explanation:

Step 1: First check what we are provided with. As per given question we have:

mass (m) = 70 kg, height (h) = 2.5 m and acceleration due to gravity (g) = 9.81 m/s².

Step 2: Check what we are asked to find out.

Work done = Change in Potential energy

The stuff required to solve this question is potential energy. Using the formula: P = mgh. Where P is Potential energy, m is mass, g is acceleration due to gravity and h is height.

Step 3: Substitute the known values in the above formula.

→ P = 70 × 2.5 × 9.81

→ P = 1716.75 J

Hence, the work done against the force of gravity is 1716.75 J.

As a block falls through the air by 40 meter it does work equal to -1800 joule. Determine the mass of a block.

Answers

Answer:

m = 4.5 kg

Explanation:

w = - 1800 j

Fd = - 1800 j

mgd = - 1800 j

m = - 1800 ÷(gd)

m = - 1800 ÷( 10×-40)

m = 4.5 kg

Please help solve. Image down below

Answers

Answer:

thats is so hard

Explanation:

i cant answer that

Read the materials on Biomolecules. Summarize and creatively translate them into a poem describing
what you have learned about biomolecules write your answer

Answers

Biomolecules are fundamental for life. They required both energy supply and building structures.

What are biomolecules?

Biomolecules are organic molecules that fundamental for life and must be ingested from the regular diet.

Biomolecules include proteins (e.g., meal proteins), lipids (fats) and also carbohydrates (e.g., glucose).

Biomolecules required both energy supply (e.g., glucose) and building structures (e.g., amino acids in proteins).

Learn more about biomolecules here:

https://brainly.com/question/10904629

help me get a answer ​

Answers

Answer:

I think D sorry if I'm wrong

How fast must a proton move so that its kinetic energy is 70% of its total
energy?

I thought it would be 0.7c but that is wrong. I really don't know how to do this type of problem and my text book isn't any help.

Answers

Try this solution, all the details are in the attachment. note, the answer is marked with orange colour. If it is possible, check the provided solution in other sources.

Answer: ≈0.81c.

A women runs a kilometer using a of 210N and a pwower output of 500W how long does it take this woman to complete 1 kilometer

Answers

Answer:

7 minutes

Explanation:

Explanation:

Power = work / time

Power = force × distance / time

500 W = 210 N × 1000 m / t

t = 420 s

t = 7 min

static frictional Force​

Answers

Answer:

The static frictional force is the force between the magnetic forces statically and contains only two objects during this physical reaction. It results in electricity and a slight shock.

A curve is banked at an angle of 29.1 degrees above the horizontal and the road surface has a coefficient of static friction of 0.4. What must the radius of curvature be for the safe minimum speed of 27.1 m/s?

Answers

Hi there!

We can begin by summing the forces acting on the car.

Along the axis of the incline, the forces of friction and gravity are working. The force of friction points towards the top of the ramp, while the force of gravity works towards the bottom.

We can use trigonometry to determine the force due to gravity along the ramp.

[tex]F_g = Mg sin\theta[/tex]

The force due to friction is equal to:
[tex]F_f = \mu N[/tex]

The normal force is the vertical component of the force due to gravity, so:
[tex]F_f = \mu Mgcos\theta[/tex]

Now, the combination of these two forces produces a component of the centripetal force. Drawing a diagram, we see that the true centripetal force is the HYPOTENUSE, while these forces sum up to its horizontal component along the ramp.

Therefore:
[tex]F_c sin\theta = Mgsin\theta - \mu Mgcos\theta[/tex]

The centripetal force is equivalent to:
[tex]F_c = \frac{Mv^2}{r}[/tex]

m = mass (kg)

v = velocity (m/s)
r = radius (m)

Rewrite:
[tex]\frac{Mv^2}{r}sin\theta = Mgsin\theta - \mu Mgcos\theta[/tex]

Cancel out 'M'.

[tex]\frac{v^2}{r}sin\theta = gsin\theta - \mu gcos\theta[/tex]

Rearrange to solve for 'r'.

[tex]r = \frac{v^2sin\theta}{gsin\theta - \mu gcos\theta}[/tex]

Plug in values and solve.
[tex]r = \frac{(27.1^2)sin(29.1)}{(9.8)sin(29.1) - 0.4(9.8)cos(29.1)} = \boxed{266.365 m}[/tex]

Which statement correctly describes the relationship between frequency and wavelength?
A :As the frequency of a wave increases, the longer its wavelength is

B: As the frequency of a wave increases, the shorter its wavelength is.

C: As the frequency of a wave increases, its wavelength remains the same.

Answers

Answer:

It is B

Explanation:

Option B talks about how the frequency of the wave increases the shorter it's wavelengths

Answer:

It's b

Explanation:

the taipei 101 in taiwan is a 1667-foot tall, 101-story skyscraper. the skyscraper is the home of the world's fastest elevator. the elevators transport visitors from the ground floor to the observation deck on the 89th floor at speeds up to 16.8 m/s. determine the power delivered by the motor lift the 10 passengers at this speed. the combined mass of the passengers and cabin is 1250 kg

Answers

The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts

What is power?

Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as

Power (P) = Force (F) × velocity (v)

P = Fv

How to determine the force Mass (m) = 1250 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) =?

F = ma

F = 1250 × 9.8

F = 12250 N

How to determine the power Velocity (v) = 16.8 m/sForce (F) = 12250 NPower (P) =?

P = Fv

P = 12250 × 16.8

P = 205800 Watts

Learn more about power:

https://brainly.com/question/5684937

Topic : Collisions and Conservation of Momentum

1. Two children are standing still on ice and push off each other. Each has a momentum after the push. Do they violate the conservation of law? Initial momentum is zero.

2. Describe how the conservation law works with elastic and inelastic collisions.

3. In general, for elastic collisions with stationary objects, when will the first object bounce back? When will it follows the stationary object after the collision?

4. What is the use of airbags in vehicles?

5. Why are seatbelt designed to be stretchable?

Answers

As Initial momentum is zero then final will be zero.So afterwards total momentum will be 0.The conservation law works with elastic the collison kinetic energy. And while in the inelastic collisions the energy is not conserved. The stationary object will cause the greater momentum change.It usually reduce the chances of upper body crash during an aciident.The seatbelt designed to be stretchable as itwill cause greter momentum to reduce .What is momentum?

It is amount of force or motion that cause the movement or moving of body.

Thus it is well explained.

To learn more about the collisions refer to link ;

https://brainly.com/question/7694106

1.No they do not violate the conservation of law. Because the initial momentum can be zero.

2. The momentum is conserved in both elastic and inelastic collision.

What is the law of conservation of momentum?

The momentum of the body before the contact is always equal to the momentum of the body after the impact, according to the rule of conservation of momentum.

According to the law of conservation of momentum;

Momentum before collision =Momentum after collision

[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)[/tex]

1.No they do not violate the conservation of law. Because the initial momentum can be zero.

2. The momentum is conserved in both elastic and inelastic collision. Hence the conservation law works with elastic and inelastic collisions.

3. An elastic collision is one in which kinetic energy is conserved, meaning that the total kinetic energy before and after the impact is the same.

The object bounces once after the body gets struck. When the body's final velocity is zero it follows the stationary object after the collision.

4.. Airbags are meant to inflate automatically in the case of an abrupt deceleration or impact force indicative of a collision.

When the bag is fully inflated, it protects the driver and/or passenger by Increasing cushioning around the driver's neck, head, and spine.

5. Stretchable seatbelts are meant to allow a passenger's considerable velocity to be slowly reduced, preventing the passenger from being flung forward abruptly.

As a result, if the automobile collides, serious casualties can be avoided.

Hence no they do not violate the conservation of law. Because the initial momentum can be zero.

To learn more about the law of conservation of momentum refer;

https://brainly.com/question/1113396

Explain why is dressing table mirror may become dirsty if wiped with a cloth on a warm day.​

Answers

Answer:

When you rub a dry cloth across glass, it creates charged static electricity, which attracts little non-charged dust particles.

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area
of 280 square feet is 27,800 pounds when the plane is going 220 miles per hour. Find the lifting force on the wing if the plane slows down to 130 miles per hour.
(Leave the variation constant in fraction form or round to at least 5 decimal places. Round off your final answer to the nearest pound.)

Answers

Answer:

If the lifting force varies jointly with wing surface area and the square of the plane's velocity, then:

F = kAv²

If the lift is 27,800 pounds when the area is 190 sq. ft and the velocity is 230 mph, then the constant of proportionality is:

27,800 = k(190)(230)²

k = (27,800) / (190)(230)² = 139/50255

The lifting force the plane slows down to 200 mph is:

F = (139/50255)(190)(200)²

F = 21,020.79

Rounded to the nearest pound, the lifting force is 21,021 pounds.

Ways in which a teacher plays a role in the literacy development of the learners​

Answers

Answer:

encourage all attempts at reading, writing, and speaking

Explanation:

I NEED HELP FAST

Match the term with the appropriate image

A) Focal length

B) Object position

C) Image position

Answers

1st image - B) Object position

2nd image - A) Focal length

3rd image - C) Image position

object position is from the lens to the object.image position is from the lens to where both rays meet together.Focal length is where the ray meets the principal axis.

The resistance of a 60.-watt lightbulb operated at
120 volts is approximately

Answers

Answer:

The resistance of a 60 watt light bulb designed to operate at 120 volts is 240 Ω.

Explanation:

A horizontal push of 197 N is applied to a 49.1 kg crate to slide it along a level floor. The crate is accelerating at 3.337 m/s2 (speeding up). What is the magnitude of the kinetic friction force between the crate and the floor

Answers

The magnitude of the kinetic friction force between the crate and the floor is 33.15 N.

Kinetic frictional force

The magnitude of kinetic frictional force is determined by applying Newton's second law of motion as shown below;

F - Ff = ma

where;

Ff is kinetic frictional forcea is acceleration of the crateF is the applied force

Subsitute the given parameters and solve for kinectic frictional force

197 - Ff = 49.1(3.337)

197 - Ff = 163.85

Ff = 33.15 N

Thus, the magnitude of the kinetic friction force between the crate and the floor is 33.15 N.

Learn more about kinetic frictional force here: https://brainly.com/question/20241845

Which of the following is NOT an example of force?
A. gravity
B. mass
C. a push
D. remain at rest

Answers

Answer:

D. remain at rest

Explanation:

D remain at rest because gravity is a force pulling you towards the earth mass is also a force push is also a type of force as you are applying it to an object so D is the answer

A basketball player must jump 1.2m in the air in order to dunk. What is the total time he is in the air?

Answers

Answer:

0.98 [sec].

Explanation:

1) the time when the player is moving up equals the time the player falls, it can be 't'. Then

2) the equation of moving down can be written as

[tex]\frac{g*t^2}{2} =h, \ where[/tex]

g=10 [m/s²], t - time, h - the given height.

3) according to the formula above the time spent to moving down is:

[tex]t=\sqrt{\frac{2h}{g}};[/tex]

[tex]t=\sqrt{\frac{2.4}{10}}=\sqrt{0.24} =0.49[s].[/tex]

4) finally, the total time is t*2=0.98[sec].

Other Questions
Which of these has an oxidation number of zero (0)? Cal2, Ca CaS, Ca3N2 What are the possible consequences of being unable to predict an eruption? Do you know any real life examples from history? If so, explain how the nearby population was affected. give Two differences between monocotylidon and dycotiledon. I really need help... can someone pls help me Why do you think it's important for the USAto be a good terms with other nationsaround the world? Your class of 96 students is going on a field trip to the aquarium.You filled one school bus, and the second school bus had 6 seats leftover. Write and solve an equation to determine how many studentss can fit on one school bus. x 5 3 + b6b + 15b 3c - 2c 4PLEASE ANSWER ITS CONFUSING 4. Which rhetorical device is being used in this sentence: How can we even considertrading our freedom for a little security? Explain. What is the most specific name for the figure?A(-4a, -2a)B(-9a, -2a)C(-5a, a)D(0, a)A. TrapezoidB. RectangleC. SquareD. Rhombus Which comedy sketch series helped popularize the term spam?. What type of charge is acquired when a rubber is rubbed with a fur The area of the triangle below is 4.06 square meters. What is the length of the base? What is the main chemical component present in striking surface of a matchbox?A. Potassium chlorateB. PhosphorusC. PotassiumD. Graphite i need help!!!!!!!!! how do i do this Find the value of x to the nearest tenth.26.226.380.81,530 Please help i will give brainliest Sprained ankles are common injuries for athletes a sprain may not even need treatment. Is this a complete sentence? if josh gives 13 fried fish and molly eats 10 how many left are there How did the percentage of Americans living on farms change throughout the 1800s?A. It stayed the same as people stopped coming to America. B. It lowered as many Americans were sold into slavery. C. It grew as more Americans moved away from cities.D. It lowered as many Americans went to work in factories in developing cities. Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?