A stone is projected vertically up to reach maximum height 'h'. The ratio of its kinetic energy to potential energy , at a height $\frac{4 h}{5}$ will be:

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Solution

Gravitational potential energy near the surface of the earth( where the acceleration due to gravity has the constant value) is directly proportional to the height from the surface. At a height h potential energy $= m g h$
Kinetic energy $= 0$

At a height $\frac{4 h}{5}$ potential energy $= \frac{4}{5} m g h$ .

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

The ratio of kinetic energy to potential energy is $1 : 4$ .

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A stone is projected vertically up to reach maximum height 'h'. The ratio of its kinetic energy to potential energy , at a height 4h5 will be:

A stone is projected vertically up to reach maximum height 'h'. The ratio of its kinetic energy to potential energy , at a height $\frac{4 h}{5}$ will be: