Question

A bowling ball (solid sphere, moment of inertia is (2/5)MR2) of mass M and radius R...

A bowling ball (solid sphere, moment of inertia is (2/5)MR2) of mass M and radius R rolls down a hill without slipping for a distance of L along the hill with slope of angle θ, starting from rest. At that point, the hill becomes frictionless.The ball continues down the hill for another segment of length 2L (thus the total distance travelled on the hill is 3L). The hill levels out into a horizontal area, where the coefficient of friction is μk, which is constant throughout the entire horizontal length. The ball rolls without slipping before it hits a plate attached to a spring with spring constant k.

a) What happens to the ball immediately after it goes onto the frictionless surface (before it reaches the horizontal area)?

b) What is the angular speed of the ball just before it hits the spring?

c) What is the maximum compression of the spring?

d) How much energy is lost to friction from when the ball is released until the spring reaches maximum compression?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a...
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a ramp without slipping. The initial height of the incline is H= 2m. The moment of inertia of the ball is I=(2/5)MR2 What is the total kinetic energy of the bowling ball at the bottom of the incline? 684J 342J 235J 137J If the speed of the bowling ball at the bottom of the incline is V=5m/s, what is the rotational speed ω at the...
A spherical bowling ball with mass m = 3.6 kg and radius R = 0.1 m...
A spherical bowling ball with mass m = 3.6 kg and radius R = 0.1 m is thrown down the lane with an initial speed of v = 8.6 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.28. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. A)What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
A spherical bowling ball with mass m = 4.2 kg and radius R = 0.1 m...
A spherical bowling ball with mass m = 4.2 kg and radius R = 0.1 m is thrown down the lane with an initial speed of v = 8.1 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.28. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 3) How long does it take the bowling ball to begin rolling without slipping? 4) How far...
A bowling ball that can be represented as a solid sphere, rolling with an initial unknown...
A bowling ball that can be represented as a solid sphere, rolling with an initial unknown speed ?, rolls without slipping up a 4.0 m high hill. At the top of the hill the bowling ball is rolling at a speed of 1.4 m/s. A. What is the initial speed of the bowling ball, ?, as it rolls up the hill? B. In which direction does the angular velocity of the bowling ball point? i. Down the hill. ii. Up...
A spherical bowling ball with mass m = 3.6 kg and radius R = 0.118 m...
A spherical bowling ball with mass m = 3.6 kg and radius R = 0.118 m is thrown down the lane with an initial speed of v = 8.5 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.26. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1.What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
3. A bowling ball of m=7.26kg and v=0.110m is thrown down a bowling alley lane on...
3. A bowling ball of m=7.26kg and v=0.110m is thrown down a bowling alley lane on a cruise ship with initial translational velocity of 3.50m/s. At the moment of the throw the lane is tilted up at an angle of 9.00°and accelerating downward at 2.60 m/s2. The kinetic friction coefficient of the lane is 0.0822 and the length of the lane is 15.1m. Assume the ship remains at the same tilt and acceleration the whole time the bowling ball is...
(a) The moment of inertia of a rolling marble is I = 2 5 MR2, where...
(a) The moment of inertia of a rolling marble is I = 2 5 MR2, where M is the mass of the marble and R is the radius. The marble is placed in front of a spring that has a constant k and has been compressed a distance xc. The spring is released and as the marble comes off the spring it begins to roll without slipping. Note: The static friction that causes rolling without slipping does not do work....
A solid sphere with a moment of inertia of I = 2/5 M R2 is rolled...
A solid sphere with a moment of inertia of I = 2/5 M R2 is rolled down an incline which is inclined at 24 degrees. The radius of the sphere is 1.6 meters. The initial velocity of the center of mass at the top of the incline is 2 m/s. As the sphere rolls without slipping down the incline, it makes 26 revolutions as it travels all the way down the incline. How long, in seconds, does it take to...
A bowling ball rolls without slipping up a ramp that slopes upward at an angle β...
A bowling ball rolls without slipping up a ramp that slopes upward at an angle β to the horizontal. Treat the ball as a uniform, solid sphere, ignoring the finger holes. A) In order for the rotation of the ball to slow down as it rolls uphill, in which direction must the frictional force point? B) Compared to a frictionless surface, does the ball roll farther uphill, the same distance, or not as far? Please explain. C) What is the...
A solid bowling ball with a mass of 6.8 kilograms is rolling without slipping along a...
A solid bowling ball with a mass of 6.8 kilograms is rolling without slipping along a flat surface at a linear speed of 7.6 m/s. The ball has a diameter of 8.5 inches. If instead of pins, it encounters a long spring with a spring constant of 9300 N/m that has been attached to a wall ahead of it, what is the maximum it can compress the spring as it stops rolling.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT