Question

A stone is projected vertically up to reach a maximum height h.The ratio of its kinetic energy to potential energy at a height 4h/5 will be

Answer 1

Gravitational potential energy near the surface of earth( where acceleration due to gravity has constant value) is directly proportional to height from the surface. At a height h potential energy = mgh.

Kinetic energy = 0

At a height 4h/5 potential energy = 4/5mgh.

The difference mgh - 4/5mgh= 1/5mgh is the kinetic energy.

Ratio of kinetic energy to potential energy is 1:4.

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