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WBJEE · Physics · Work Power Energy

A bullet of mass \(m\) travelling with a speed \(v\) hits a block of mass \(M\) initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will be

  1. A Zero
  2. B \(\frac{m v^{2}}{2}\)
  3. C \(\frac{M m v^{2}}{2(M-m)}\)
  4. D \(\frac{m M v^{2}}{2(M+m)}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{m M v^{2}}{2(M+m)}\)

Step-by-step Solution

Detailed explanation

Mass of bullet \(=m_{1}=m\) Initial speed of bullet \(=u_{1}=v\) Mass of block \(=m_{2}=M\) Initial speed of block \(=u_{2}=0\) Let the common velocity of the bodies after collision \(=V\) According to conservation of linear momentum…
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