One projectile moving with velocity V in space gets burst into 2 parts of masses in the ratio 1:3. The smaller part becomes stationary. What is the velocity of the other part?
One projectile moving with velocity V in space gets burst into 2 parts of masses in the ratio 1:3. The smaller part becomes stationary. What is the velocity of the other part?
Explanation
Since the smaller part becomes stationary, it means that the larger part will carry all the momentum.
Let's say the mass of the smaller part is m and the mass of the larger part is 3m.
Initial momentum = Final momentum
mV + 3mV = 3mV'
where V' is the velocity of the larger part.
Combine like terms:
4mV = 3mV'
Divide both sides by 3m:
V' = 4V/3