Question

The K.E of a body becomes 4 times it's value The new linear momentum will.be

Answer 1

The Kinetic Energy is the energy of a body or a system with respect to the motion of the body or of the particles in the system.

the usual expression for

K.E. = (1/2) mass . velocity^2

where m is the mass and v the velocity of the body

K.E. = (1/2) m . v^2

suppose the kinetic energy has increased to 4 times the original value.

but m= constant so v must have increased. so v must have becomes 2.v as K.E. is proportional to square of v .

therefore the momentum of the body must have changed to two times the original momentum.

as momentum of a body is defined as p = mass . velocity

and v has changed to 2.v