Prove that the total mechanical energy remains constant for a ball mass m dropped from a tower of height h.

Show that the total mechanical energy remains constant for a particle executing simple harmonic motion.

What will be the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth ?

Show that the total energy of ann isolated system always remains constant.

Why does the total energy of an isolated system remains constant?

Two balls of different masses have the same volume. If the air resistance on both the balls are the same, prove that, when dropped from the same height, the heavier ball reaches the ground earlier.

When a certain golf-ball is dropped on a piece of pavement, it bounces to a height of three-fifth the height from which it fell. If the ball is dropped from a height of 100 cm, how far has it travelled when it hits the ground for the tenth time ? How high will it rise on the next bounce ?

Two balls of the same mass, one of iron and the other of copper, are dropped from the same height. Which one would become hotter?