1. A factory worker pushes a 30.0-kg crate a distance of 4.5 m along a level floor at constant velocity by pushing horizontally on it. The coefficient of kinetic friction between the crate and the floor is 0.25. (a) What magnitude of force must the worker apply? (b) How much work is done on the crate by this force? (c) How much work is done on the crate by friction? (d) How much work is done on the crate by the normal force? By gravity? (e) What is the total work done on the crate?

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1. A factory worker pushes a 30.0-kg crate a distance of 4.5 m along a level floor at constant
velocity by pushing horizontally on it. The coefficient of kinetic friction between the crate and
the floor is 0.25. (a) What magnitude of force must the worker apply? (b) How much work is
done on the crate by this force? (c) How much work is done on the crate by friction? (d) How
much work is done on the crate by the normal force? By gravity? (e) What is the total work
done on the crate?
2. You throw a 3.00-N rock vertically into the air from ground level. You observe that when it is
15.0 m above the ground, it is traveling at 25.0 m/s upward. Use the work-energy theorem to
find (a) the rock's speed just as it left the ground and (b) its maximum height.
3. A spring stores potential energy U, when it is compressed a distance xo from its uncompressed
length. (a) In terms of Uo, how much energy does the spring store when it is compressed
(i) twice as much and (ii) half as much? (b) In terms of xo, how much must the spring be
compressed from its uncompressed length to store (i) twice as much energy and (ii) half as
much energy?
4. A 0.65-kg ball undergoes free-fall from a height of 1.00 m above the ground. (a) Using the
kinematic equation for uniformly accelerated motion, determine the speed at the given vertical
positions above the ground. (b) Find the corresponding kinetic energy, potential energy and
mechanical energy for every vertical position.
Position, y Speed, v, | Kinetic Energy, K | Potential Energy, U Mechanical Energy, E
Y1 = 1.00 m
Y2 = 0.75 m
0.50 m
%3D
Y3
%3D
Y4 =
0.25 m
Y5
0.00 m
5. A crate on a motorized cart starts from rest and moves with a constant eastward acceleration
of a = 2.80 m/s² . A worker assists the cart by pushing on the crate with a force that is
eastward and has magnitude that depends on time according to F(t) =(5.40 N/s)t. What is
the instantaneous power supplied by this force at t = 5.00 s?
Transcribed Image Text:1. A factory worker pushes a 30.0-kg crate a distance of 4.5 m along a level floor at constant velocity by pushing horizontally on it. The coefficient of kinetic friction between the crate and the floor is 0.25. (a) What magnitude of force must the worker apply? (b) How much work is done on the crate by this force? (c) How much work is done on the crate by friction? (d) How much work is done on the crate by the normal force? By gravity? (e) What is the total work done on the crate? 2. You throw a 3.00-N rock vertically into the air from ground level. You observe that when it is 15.0 m above the ground, it is traveling at 25.0 m/s upward. Use the work-energy theorem to find (a) the rock's speed just as it left the ground and (b) its maximum height. 3. A spring stores potential energy U, when it is compressed a distance xo from its uncompressed length. (a) In terms of Uo, how much energy does the spring store when it is compressed (i) twice as much and (ii) half as much? (b) In terms of xo, how much must the spring be compressed from its uncompressed length to store (i) twice as much energy and (ii) half as much energy? 4. A 0.65-kg ball undergoes free-fall from a height of 1.00 m above the ground. (a) Using the kinematic equation for uniformly accelerated motion, determine the speed at the given vertical positions above the ground. (b) Find the corresponding kinetic energy, potential energy and mechanical energy for every vertical position. Position, y Speed, v, | Kinetic Energy, K | Potential Energy, U Mechanical Energy, E Y1 = 1.00 m Y2 = 0.75 m 0.50 m %3D Y3 %3D Y4 = 0.25 m Y5 0.00 m 5. A crate on a motorized cart starts from rest and moves with a constant eastward acceleration of a = 2.80 m/s² . A worker assists the cart by pushing on the crate with a force that is eastward and has magnitude that depends on time according to F(t) =(5.40 N/s)t. What is the instantaneous power supplied by this force at t = 5.00 s?
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