Question

what happens to the kinetic energy when 1) the mass of the body is doubled at constant velocity ? 2) the velocity is doubled at constant mass . 3) the mass of the body is doubled but velocity is reduced to half

Answer 1

ke=( ½)mv²

1. k.e becomes double
2. k.e becomes 4th times
3.k.e becomes ½ times...
hope help you

Answer 2

1. The mass of the body is doubled at constant velocity: Kinetic energy is doubled
2. The velocity is doubled at constant mass: Kinetic energy becomes four times
3. The mass of the body is doubled but velocity is reduced to half: Kinetic energy is halved

What is kinetic energy?

Energy in an object due to its motion's velocity is called kinetic energy.

When a body of mass m is moving with a velocity v, then the kinetic energy in the body is given by:

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

Now, when the mass is doubled by keeping velocity constant:

KE' = 1/2 X 2m X v X v = $mv^{2}$

When velocity is doubled by keeping mass constant:

KE'' = 1/2 X m X 2v X 2v = $2mv^{2}$

When velocity is reduced to half and mass is doubled:

KE''' = 1/2 X 2m X (v/2) X (v/2) = $\frac{mv^{2} }{4}$