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?
Answer: 4V/3
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
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