AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A bullet of mass \(m\) is fired from a rifle of mass \(M\). If \(\mathbf{v}\) be the velocity of the bullet, velocity acquired by the rifle is
- A \(\mathbf{v}_r=\frac{-M}{m} \mathbf{v}\)
- B \(\mathbf{v}_r=\frac{-m}{M} \mathbf{v}\)
- C \(\mathbf{v}_r=-\mathbf{v}\)
- D \(\mathbf{v}_r=+\mathbf{v}\)
Answer & Solution
Correct Answer
(B) \(\mathbf{v}_r=\frac{-m}{M} \mathbf{v}\)
Step-by-step Solution
Detailed explanation
Given that, mass of bullet \(=m\) Mass of rifle \(=M\) Velocity of bullet \(=\mathbf{v}\) Let velocity of rifle \(=\mathbf{v}_r\) By using conservation of linear momentum \(m \mathbf{v}+M \mathbf{v}_r=0\) \([\because\) Initial momentum of bullet and rifle was zero]…
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