Question

If The Momentum Is Increased By 50% Then Kinetic Energy changes by

Answer 1

Original momentum = mv
New momentum = mv +( (50/100) mv)
                           = mv +(mv/2)
                           =3mv/2
Mass is fixed . It cannot change.So velocity is the reason for it's increase.

Let new velocity = v'

New momentum= mv' = 3mv/2
                        v'=3v/2 (mass get cancelled).

New kinetic energy = m(v')²/2 = m× (3/2 v)² /2
                               =9/8 × mv²

Original kinetic energy = mv²/2

∴ the percentage increased = (9/8 - 1/2) ×100
                                             =5/8 × 100

                                             = 62.5%

I hope my answer is helpful to u.