Question

If the units of mass and length are increased 2 times, then the unit of energy will

Answer 1

The unit of energy will be increased by 8 times.

Explanation:

Given that,

Mass and length increased 2 times

To find,

Change in the unit of energy = ?

As we know,

Energy = $\frac{1}{2}mv^{2}$

where m = mass, v = distance/time

Since the distance is in length, Let the length be x

so,

$E_{1}$ = 1/2 * m * x^2/t^2

A.T.Q.

Mass and length is increased by 2 times

so, If m = 2m. Then x = 2x

$E_{2}$ = 1/2 * 2m * (2x)^2/t^2

= 1/2 * 2m * 4x^2/t^2

= 8 * 1/2m * x^2/t^2

∵ $E_{2} = 8E_{1}$

Thus, the unit of energy will increase by 8 times.

Learn more: Unit of energy

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