A bullet of mass m = 10 g strikes a ball of mass 1 kg hanging from a 1 m long string and gets embedded in it. The bullet has an initial velocity of 100 m/s in the horizontal direction. By what height (in cm) does the ball rise?

Engineering

Physics

Conservation of Energy

Momentum and Energy Conservation for System of Particles

Question

A bullet of mass m = 10 g strikes a ball of mass 1 kg hanging from a 1 m long string and gets embedded in it. The bullet has an initial velocity of 100 m/s in the horizontal direction. By what height (in cm) does the ball rise?

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$\frac{10}{1000} \times 100 = 1 \times v$

v = 1 m/s

$\frac{1}{2} {mv}^{2} = mgh$

$\frac{1}{2000} = h = 5 cm$