Question

a 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill how far up the hill will it be when it stops

Answer 1

The ball will roll upto 1 m.

Explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

`P.E=m\cdot g\cdot h`

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

`\Rightarrow 10=1* 10* h`

`\Rightarrow 10=10 h`

`\Rightarrow h=1\ m`