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NEET 2001 (AIPMT) · Impulse & Momentum Conservation

Impulse & Momentum Conservation question from NEET 2001 (AIPMT)

Q21NEET 2001 · AIPMTMedium

Impulse & Momentum Conservation

A 1 kg stationary bomb is exploded in three parts having mass 1: 1: 3 respectively. Parts having same mass move in perpendicular direction with velocity 30 m/s, then the velocity of bigger part will be

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Answer: (a)

Masses: $0.2$ kg, $0.2$ kg, $0.6$ kg. Initial momentum is zero.
Each small part: $p = 0.2 \times 30 = 6$ kg m/s; at right angles, resultant $= 6\sqrt{2}$ kg m/s.
Big part has equal and opposite momentum: $0.6\,v = 6\sqrt{2}$
$v = 10\sqrt{2}$ m/s, so the answer is (a).

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