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More on Work and the Work-Energy Theorem Practice Problems
1. A 0.600-kg particle has a speed of 2.00 m/s at point A and kinetic energy of 7.50 J at point B. What is its
kinetic energy at A? its speed at B? the total work done on the particle as it moves from A to B?
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2. A 0.300-kg ball has a speed of 15.0 m/s. What is its kinetic enery? If it speed were doubled, what would
its kinetic energy?
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3. A mechanic pushes a 2500-kg car, moving it from rest and making it accelerate from rest to a speed v. He does
5000 J of work in the process. During this time, the car moves 25.0 m. If friction between the car and the road is
negligible, what is the final speed v of the car? What horizontal force did he exert on the car?
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4. A 40.0-kg box initially at rest is pushed 5.00 m along a rough, horizontal floor with a constant applied force of 13
N. If the coefficient of friction between the box and the floor is 0.300, find the work done by the applied force,
the energy loss due to friction, the work done by the normal force, the work done by gravity, the
change in kinetic energy of the box, and the final speed of the box.
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5. A crate of mass 10.0-kg is pulled up a rough incline with an initial speed of 1.50 m/s. The pulling force is 100 N
parallel to the incline, which makes an angle of 20.0 with the horizontal. The coefficient of kinetic friction is 0.400
and the crate is pulled 5.00 m. How much work is done by gravity? How much energy is loss due to friction
How much work is done by the 100-N force? What is the change in kinetic energy of the crate? What is
the speed of the crate after it has been pulled 5.00 m?
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6. A block of mass 12.0-kg slides from rest down a frictionless 35.0 incline and is stopped by a strong spring with
. The block slides 3.00 m from the point where it comes to rest against the spring. When the
block comes to rest, how far has the spring been compressed?
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7. A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed . The
coefficient of kinetic friction between the sled and the ice is . Utilizing energy considerations, find the
distance the sled moves before it stops.
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8. A block of mass 1.6-kg is attached to a horizontal spring that has a force constant of . The spring
compressed 2.0 cm and is then released from rest. Calculate the speed of the block as it passes through the
equilibrium position if the surface is frictionless.