Question

A body moving horizontally at a height of 10m has its potential energy equal to kinetic energy then what is the velocity of the body​

Answer 1

h = 10m g = 10
potential energy = Kenetic energy
mgh = 1/2mv square
10× 10 = 1/2v square
100 ×2 = v square
√200 = v
14.4

Answer 2

The velocity of the body is 14 m/s.

Explanation:

Potential energy of a body is given by :

$P=mgh$

Kinetic energy of the body is given by :

$K=\dfrac{1}{2}mv^2$

Height, h = 10 m

A body moving horizontally at a height of 10 m has its potential energy equal to kinetic energy. So,

$mgh=\dfrac{1}{2}mv^2$

$v=\sqrt{2gh}$

$v=\sqrt{2\times 9.8\times 10}$

v = 14 m/s

So, the velocity of the body is 14 m/s. Hence, this is the required solution.

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Kinetic and potential energy

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