Suppose you lift a 20 kg box by a height of 1.0 m.
a. How much work do you do in lifting the box?
Instead of lifting the box straight up, suppose you push it up a 1.0-m-high ramp that makes a 30° degree angle with the horizontal, as shown in Figure P10.78. Being clever, you choose a ramp with no friction.
b. How much force F is required to push the box straight up the slope at a constant speed?
c. How long is the ramp?
d. Use your force and distance results to calculate the work you do in pushing the box up the ramp.
e. How does this compare to your answer to part a? Explain your reasoning in regards of potential energy.