Question

An object of mass 10 kg is moving with a velocity of 5 m per second .If the velocity of the object is tripled, the change in kinetic energy of the object is

Answer 1

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Answer 2

The change in kinetic energy of the object is 1000 J.

Explanation:

It is given that,

Mass of the object, m = 10 kg

Velocity of the object, v = 5 m/s

The energy possessed by an object by virtue of its motion is called its kinetic energy. It is given by :

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

$K=\dfrac{1}{2}\times 10\times (5)^2$

K = 125 J

If the velocity of the object is tripled, v' = 3v = 15 m/s. Let K' is the kinetic energy of the object. It is given by :

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

$K=\dfrac{1}{2}\times 10\times (15)^2$

K' = 1125 J

Change in kinetic energy is given by :

$\Delta K=K'-K$

$\Delta K=1125-125$

$\Delta K=1000\ J$

So, the change in kinetic energy of the object is 1000 J. Hence, this is the required solution.

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