Question

A bullet is fired by a light rifle and the other with a heavy rifle by the same force. Which rifle will cause more injury to the shoulder?

• A. Light rifle
• B. Heavy rifle
• C. Both will cause the same injury
• D. The information is insufficient

Hint:

Heavier objects recoil less due to higher inertia.

Answer 1

The Correct Option is A

Concept: From conservation of momentum: \[ m_b v_b = m_r v_r \] Recoil velocity is inversely proportional to rifle mass.

Step 1: Recoil velocity.
\[ v_r = \frac{m_b v_b}{m_r} \]

Step 2: Effect of mass.
Smaller mass (light rifle) $\Rightarrow$ larger recoil velocity.

Step 3: Injury relation.
Greater recoil velocity $\Rightarrow$ greater force on shoulder $\Rightarrow$ more injury.