A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12 kg mass is 4 m/s. What is the velocity of the 4 kg piece?
Step 1: Given data
Step 2: Find the velocity of the second piece
Let, and are the mass of the two pieces with velocities and ,
From the principle of conservation of linear momentum,
Neglecting the minus sign of velocity, because the two masses are moving in opposite directions from each other.
So, the velocity of the first body is .