Scenario: A man begins pushing a box from rest up a ramp angled at 22 degrees from horizontal, exerting a constant force of 500N, but he is opposed by a force of kinetic friction of magnitude 20N.
a. If the length of the ramp is 3.6m and mass of the box is 40kg, what is the total work done by the time the box reaches the top of the ramp? (Hint: don't forget to also account for the work done by the component of gravity acting along the length of the ramp.)
b. What is its speed at the top of the ramp?
c. By the time he reaches the top, the box is now at a height of 1.35m from the ground. What is the box's potential energy?
d. Suppose the man brings the box to a rest once he reaches the top, but it begins to topple off the side of the ramp and fall straight down to the ground. How fast will it be traveling when it hits the ground?
e. If it takes 2.1 x 10^-3 seconds for the box to be stopped by the impact, with what average force will it hit the ground?