Question

A bowling ball (solid sphere, moment of inertia is
(2/5)MR^{2}) 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 μ_{k}, 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?

Answer #1

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
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How long does it take the bowling ball to begin rolling without
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4)
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A bowling ball that can be represented as a solid sphere,
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A spherical bowling ball with mass m = 3.6 kg and radius R =
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3. A bowling ball of m=7.26kg and v=0.110m is thrown down a
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(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
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static friction that causes rolling without slipping does not do
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A solid sphere with a moment of inertia of I = 2/5 M R2 is
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A bowling ball rolls without slipping up a ramp that
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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
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Find an expression for the speed of the ball's center of mass once
it reaches the bottom of the hill.

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