A gun of mass 4 kg fires a 0.02 kg bullet at 200 m per second. By conservation of momentum, the recoil velocity of the gun is:
A4 m per second
B1 m per second
C2 m per second
D0.5 m per second
Answer & Solution
Correct answer: B. 1 m per second
1. Before firing, total momentum of (gun + bullet) is zero.
2. After firing, momentum must still be zero (conservation of momentum).
3. Let V be the gun's recoil velocity. Then 4·V + 0.02 × 200 = 0.
4. 4·V + 4 = 0.
5. V = −1 m per second (negative sign means opposite direction to the bullet).
6. The magnitude of the recoil velocity is 1 m per second.
_Source: Selina Concise Physics ICSE Class 9, Ch 3 'Laws of Motion' (aplustopper.com extract)_
Keep practising Laws of Motion
Browse all Laws of Motion questions for ICSE Class 9, or explore more Physics topics.