Recoil Velocity of a Gun – Rankers Physics

Uncategorized: Practice Problem & Solution

A man fires a bullet of mass \( 200 \text{ gm} \) at a speed of \( 5 \text{ m/s} \). The gun is of one \( text{kg} \) mass. By what velocity the gun rebounds backward? (1996)
\( 1 \text{ m/s} \)
\( 0.01 \text{ m/s} \)
\( 0.1 \text{ m/s} \)
\( 10 \text{ m/s} \)

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

By conservation of momentum, initial momentum = final momentum. \( 0 = m_b v_b + m_g v_g \). \( 0 = (0.2 \text{ kg})(5 \text{ m/s}) + (1 \text{ kg}) v_g \). \( 0 = 1 + v_g \). \( v_g = -1 \text{ m/s} \). The gun rebounds with \( 1 \text{ m/s} \).

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