Question

1.) Starting from rest, a basketball rolls from the top to the
bottom of a hill, reaching a translational speed of 5.3 m/s. Ignore
frictional losses. **(a)** What is the height of the
hill? **(b)** Released from rest at the same height, a
can of frozen juice rolls to the bottom of the same hill. What is
the translational speed of the frozen juice can when it reaches the
bottom?

2.) A bowling ball encounters a 0.760-m vertical rise on the way back to the ball rack, as the drawing illustrates. Ignore frictional losses and assume that the mass of the ball is distributed uniformly. The translational speed of the ball is 7.86 m/s at the bottom of the rise. Find the translational speed at the top.

3.) Two spheres are each rotating at an angular speed of 24.8
rad/s about axes that pass through their centers. Each has a radius
of 0.280 m and a mass of 1.47 kg. However, as the figure shows, one
is solid and the other is a thin-walled spherical shell. Suddenly,
a net external torque due to friction (magnitude = 0.450 N · m)
begins to act on each sphere and slows the motion down. How long
does it take **(a)** the solid sphere and
**(b)** the thin-walled sphere to come to a halt?

Answer #1

Starting from rest, a basketball rolls from the top of a hill to
the bottom, reaching a translational speed of 4.00 m/s. Ignore
frictional losses. (a) What is the height of the hill? m (b)
Released from rest at the same height, a can of frozen juice rolls
to the bottom of the same hill. What is the translational speed of
the frozen juice can when it reaches the bottom? m/s

Starting from rest, a basketball rolls from the top to the
bottom of a hill, reaching a translational speed of 6.9 m/s. Ignore
frictional losses. (a) What is the height of the hill? (b) Released
from rest at the same height, a can of frozen juice rolls to the
bottom of the same hill. What is the translational speed of the
frozen juice can when it reaches the bottom?

Starting from rest, a basketball rolls from the top to the
bottom of a hill, reaching a translational speed of 6.5 m/s. Ignore
frictional losses. (a) What is the height of the hill? (b) Released
from rest at the same height, a can of frozen juice rolls to the
bottom of the same hill. What is the translational speed of the
frozen juice can when it reaches the bottom?

Starting from rest, a basketball rolls from the top to the bottom
of a hill, reaching a translational speed of 5.4 m/s. Ignore
frictional losses.
(a)
What is the height of the hill?
(b)
Released from rest at the same height, a can of frozen juice rolls
to the bottom of the same hill. What is the translational speed of
the frozen juice can when it reaches the bottom?

Starting from rest, a basketball rolls from the top to the
bottom of a hill, reaching a translational speed of 7.5 m/s. Ignore
frictional losses. (a) What is the height of the hill? (b) Released
from rest at the same height, a can of frozen juice rolls to the
bottom of the same hill. What is the translational speed of the
frozen juice can when it reaches the bottom? (a) Number Units (b)
Number Units

A bowling ball encounters a 0.760-m vertical rise on the way
back to the ball rack, as the drawing illustrates. Ignore
frictional losses and assume that the mass of the ball is
distributed uniformly. The translational speed of the ball is 5.28
m/s at the bottom of the rise. Find the translational speed at the
top.

A bowling ball encounters a 0.760-m vertical rise on the way
back to the ball rack, as the drawing illustrates. Ignore
frictional losses and assume that the mass of the ball is
distributed uniformly. The translational speed of the ball is 9.00
m/s at the bottom of the rise. Find the translational speed at the
top.

A bowling ball encounters a 0.760-m vertical rise on the way
back to the ball rack, as the drawing illustrates. Ignore
frictional losses and assume that the mass of the ball is
distributed uniformly. The translational speed of the ball is 9.14
m/s at the bottom of the rise. Find the translational speed at the
top.

A hollow sphere (mass M, radius R) starts from rest at the top
of a hill of height H. It rolls down the hill without slipping.
Find an expression for the speed of the ball's center of mass once
it reaches the bottom of the hill.

A basketball starts from rest and rolls without slipping down a
hill. The radius of the basketball is 0.23 m, and its 0.625 kg mass
is evenly distributed in its thin shell. The hill is 50 m long and
makes an angle of 25° with the horizontal. How fast is it going at
the bottom of the hill?
Group of answer choices
10.7 m/s
12.3 m/s
15.8 m/s
14.4 m/s
17.2 m/s

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