KCET · Physics · Work Power Energy
A gun fires a small bullet with kinetic energy \(K\). Then kinetic energy of the gun while recoiling is
- A \(K\)
- B more than \(K\)
- C less than \(K\)
- D \(\sqrt{K}\)
Answer & Solution
Correct Answer
(C) less than \(K\)
Step-by-step Solution
Detailed explanation
After firing, the momentum of gun and bullet is same. Therefore, by the relation,
\(K=\frac{p^{2}}{2 m}\), we have
\(K \propto \frac{1}{m} \quad\) (as \(p\) is same)
Hence, as the mass of gun is greater, its kinetic energy will be less.
\(K=\frac{p^{2}}{2 m}\), we have
\(K \propto \frac{1}{m} \quad\) (as \(p\) is same)
Hence, as the mass of gun is greater, its kinetic energy will be less.
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