Question

A bomb moving with velocity (40i + 50j - 25k) ms^-1 explodes into two pieces of mass ratio 1 : 4. After explosion the smaller piece moves away with velocity (40i + 50j - 25k)m/s. The velocity of larger piece after explosion is

Answer 1

Correct option (a)

Explanation :

Let the mass of the unexploded bomb be 5 m. It explodes into the two pieces of masses m and 4m respectively. Initial momentum of the unexploded bomb

After explosion, momentum of the smaller piece

and momentum of the larger piece

where vector v₁ and v₂ are the velocities of the two pieces respectively.

According to the law of conservation of momentum, we get