You are moving out of town and need to load a heavy box of mass m into the back of a moving truck. You can either pick the box straight up and set it in the truck, or slide the box a distance L up a ramp angle (theta) into the back of the truck. Assume the ramp has good rollers on it so that it is essentially frictionless.
A) Which method of moving the box is “easier” (meaning required less force)? Calculate the force required with each method. (Assume the box is moving with constant velocity once it is in motion.)
B) Which loading method requires more work? Calculate the net work done in each case. Which way is easier to calculate?