Question

4. A body brakes into two fragments of mass ratio 2:3. If
the momentums of the fragments are equal and opposite
find the ratio of their velocities.​

Answer 1

Answer:

By conservation of momentum:-

p1=p2 (In magnitude) ;(Momentum p=mv)

Kinetic energy= 1/2*m*(v^2) = (p^2)/(2*m)

K.E.1 : K.E.2 = m2:m1 (Since p1=p2)

So ratio of their kinetic energies is 2:1 i.e. the heavier mass has lesser kinetic energy compared to the lighter one.(half actually