Question

A 0.25 kg pebble slides from the top of a hemisphere whose radius is 1.2 cm. If the work done by friction is 0.27 joules, what the pebble’s velocity at the bottom?

Answer #1

A 5.0-kg package slides 4 m down the incline of a ramp sloped at
20˚. The coefficient of kinetic friction increases linearly along
the surface of the ramp, from 0 at the top to 0.32 at the
bottom.
1) Calculate the work done on the package by gravity.
2) Calculate the work done on the package by friction.
3) Calculate the work done on the package by the normal
force.
4) If the package had a speed of 3.7 m/s...

A small block with mass 0.0400 kg slides in a vertical circle of
radius 0.600 m on the inside of a circular track. During one of the
revolutions of the block, when the block is at the bottom of its
path, point A, the magnitude of the normal force exerted
on the block by the track has magnitude 4.05 N . In this same
revolution, when the block reaches the top of its path, point
B, the magnitude of the...

A small block with mass 0.0475 kg slides in a vertical circle of
radius 0.450 m on the inside of a circular track. During one of the
revolutions of the block, when the block is at the bottom of its
path, point A , the magnitude of the normal force exerted
on the block by the track has magnitude 3.75 N . In this same
revolution, when the block reaches the top of its path, point
B , the magnitude...

A small block with mass 0.0350 kg slides in a vertical circle of
radius 0.450 m on the inside of a circular track. During one of the
revolutions of the block, when the block is at the bottom of its
path, point A, the magnitude of the normal force exerted on the
block by the track has magnitude 3.90 N . In this same revolution,
when the block reaches the top of its path, point B, the magnitude
of the...

A small block with mass 0.0475 kg slides in a vertical circle of
radius 0.550 m on the inside of a circular track. During one of the
revolutions of the block, when the block is at the bottom of its
path, point A, the magnitude of the normal force exerted
on the block by the track has magnitude 3.85 N . In this same
revolution, when the block reaches the top of its path, point
B, the magnitude of the...

A 25 kg bear slides from rest 12 m down a lodge-pole pine tree
moving with a speed of 5.6 m/s at the bottom. (g = 9.8 m/s2.)
a. What is the gravitational potential energy of the bear at the
top, if the bottom of the tree is assumed to have zero
gravitational potential energy?
b.What is the bear’s kinetic energy at the bottom?
c. Determine the work done by friction, by
calculating what the bear’s kinetic energy would be with...

A 79.0-kg skier starts from rest and slides down a 36.0-m
frictionless slope that is inclined at an angle of 15.0° with the
horizontal. Ignore air resistance.
(a) Calculate the work done by gravity on the skier and the work
done by the normal force on the skier. Work done by gravity? Work
done by normal force?
(b) If the slope is not frictionless so that the skier has a
final velocity of 4 m/s, calculate the work done by...

4) A 5.0 kg box slides 2.00 m down a ramp that is inclined at
300 below the horizontal. The coefficient of kinetic friction
between the box and the ramp’s surface is 0.20
a) What is the work done by gravity?
b) What is the work done by the normal force?
c) What is the work done by friction?
d) What is the net work done on the package?
e) If the box starts from rest, what is its speed...

A small block with mass 0.0500 kg slides in a vertical circle of
radius 0.0800 m on the inside of a circular track. There is no
friction between the track and the block. At the bottom of the
block's path, the normal force the track exerts on the block has
magnitude 3.85 N.
What is the magnitude of the normal force that the track exerts
on the block when it is at the top of its path?
Express your answer...

A small rock with mass 0.20 kg is released from rest
at point A, which is at the top edge of a large, hemispherical bowl
with radius R = 0.50 m. Assume that the size of the rock is small
compared to R, so that the rock can be treated as a particle, and
assume the rock slides rather then rolls. The work done by friction
on the rock when it moves from point A to point B at the...

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