Question

A body of mass m moving with velocity v has a kinetic energy K. If its velocity is increased by 25%, what will be the new K.E?
a)25/16
b)23/34
c)12/45
d)34/58​

Answer 1

Explanation:

Kinetic energy = ½ mv²

Let initial Kinetic energy be K1

K1 = ½m(v1)²

now velocity is increased by 25./.

V2= v1 +(25/100)v1

V2= 5/4 (v1)

New Kinetic energy

K2 = 1/2 m(V2)²

K2= 1/2 m(5/4v1)²

K2= 1/2 m(25/16) (v1)²

K2= 25/16(K1)