AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A disc of mass 0.2 kg is kept floating in air without falling by vertically firing bullets each of mass 0.05 kg on the disc at the rate of 10 bullets per every second. If the bullets rebound with the same speed, then the speed of each bullet is \(\left(\right.\) Acceleration due to gravity \(\left.=10 \mathrm{~ms}^{-2}\right)\)
- A \(2 \mathrm{~m} \mathrm{~s}^{-1}\)
- B \(10 \mathrm{~m} \mathrm{~s}^{-1}\)
- C \(20 \mathrm{~m} \mathrm{~s}^{-1}\)
- D \(1 \mathrm{~m} \mathrm{~s}^{-1}\)
Answer & Solution
Correct Answer
(A) \(2 \mathrm{~m} \mathrm{~s}^{-1}\)
Step-by-step Solution
Detailed explanation
\(M_{disc}g = N(2m_{bullet}v)\) \(0.2 \cdot 10 = 10 \cdot (2 \cdot 0.05 \cdot v)\) \(2 = 10 \cdot (0.1v)\) \(2 = v\) \(v = 2 \, \mathrm{m \, s}^{-1}\)
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