Question

A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10^–2 kg moving with a speed of 2 × 10² ms^–1 . The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (use g = 10 ms^-2 )

• A. 0.30 m
• B. 0.20 m
• C. 0.35 m
• D. 0.40 m

Answer 1

The Correct Option is B

Based on the conservation of momentum:

\(mu = (M + m)V\)

With the provided values substituted:

\(10^{-2} \times 2 \times 10^2 = (1 + 10^{-2}) \times V\)

\(V = 2 \, \text{ms}^{-1}\)

The maximum height reached by the bob is determined by:

\(h = \frac{V^2}{2g}\)

\(h = \frac{2^2}{2 \times 10} = 0.2 \, \text{m}\)