# What will be Kinetic Energy of Body, When Mass of Body Doubled and …

When mass of a body is doubled and speed is halved, the kinetic energy of body will be

- Half
- One fourth
- Doubled
- No-change

If a mass of body is doubled and speed is halves,** the kinetic energy of body will be one fourth.**

**Solution:-**

**Kinetic energy = ½(mv ^{2})**

When, m = mass and v = velocity.

If the mass is double, the velocity is halves.

Thus, mass = 2m and Velocity = 1/2V

Then, Kinetic energy = ½( 2m x1/4 V^{2})

Therefore kinetic energy will be ¼ mv^{2}

Hence, the mass of body is doubled and speed is halves, the kinetic energy of body will be** one fourt**h.