A 50.0 kg student is pulled 5.00 m up a
rope at a constant speed of 1.25 m/s. How much power does the motor
use in raising the student? (Yes, this is a two-part problem.)

What is the elastic potential energy of
a bungee cord with a spring constant of 10 N/m that is stretched from its
normal resting length of 10 m to 17 m?

If 25 W of power were applied, how much
mass could be accelerated at a rate of 10 m/s2 over 100 meters for 0.5
seconds?

A 0.25 kg arrow with a velocity of 12 m/s
strikes and pierces the center of a 6.8 kg target. What is the final
velocity of the combined mass?

How much does the kinetic energy decrease
in the problem above?

A 56 kg ice skater traveling at 4.0 m/s
suddenly grabs the hand of a 65 kg skater traveling at 12.0 m/s in the
opposite direction as they pass. Assuming they don’t begin rotating,
what is the final velocity of the two skaters moving together?

How far has a spring with a constant of
44 N/m been stretched if has 120 N of force?

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