Jimmy has two options for moving a piano up to the second floor of a hotel, which is 10 m above his current position. He can push the piano up 50 m ramp or lift the piano up with a rope wrapped around a pulley. Which option will require him to exert a greater average force? Neglecting friction, which option will require more work?

Lifting straight up, even with a rope and pulley, always takes more force than going up a slanted ramp to the same height.

But if you use the ramp, then you have to exert the force over a greater distance (pull more rope to lift to the same height).

Astonishingly, the product of (force) x (distance) is the same number either way.  So without friction, the total amount of work required is the SAME whichever way the piano is lifted.

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation:

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.