Question

An object of mass m is moving with v velocity. What is the velocity of the object. So that its Kinetic Energy becomes 4times its original value?​

Answer 1

Explanation:

4k.E = 1/2mv square

8k.E =mv square

square root of 8k.E/m=v

Answer 2

THE VELOCITY OF THE OBJECT IS 2 V

Explanation:

KINETIC ENERGY:

It is the energy possessed by the body due to its virtue of motion , i.e due to the velocity it has.

WORK ENERGY THEOREM

This states that when some wok is done on the body then it appears as the change in kinetic energy of the body

So assuming some work is done the final kinetic energy of the body is 4 times the original value

FORMULA FOR KINETIC ENERGY

The formula for kinetic energy is 0.5m$v^{2}$

where m is the mass of the object and

            v is its velocity

GIVEN: KE₂ = 4  KE₁

Where KE₂ is the final kinetic energy

           KE₁ is the initial kinetic energy

0.5m$v2^{2}$=0.5m$v1^{2}$×4 FROM THE FORMULA

hence solving the final velocity is twice the initial velocity