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AIPMT PRELIMS2009Physics-Mechanics

AIPMT PRELIMS 2009 Physics Conservation of Momentum MCQ Question

Type: MCQ-numerical-Hard-Class 11

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 ms⁻¹ and 2 kg second part moving with a velocity of 8 ms⁻¹. If the third part flies off with a velocity of 4 ms⁻¹, its mass would be:

A

7 kg

B

17 kg

C

3 kg

D

5 kg

Correct Answer

Option D

Detailed Explanation

Using conservation of momentum, the total momentum before and after the explosion must be equal. Solving for the third mass using vector addition of the momenta of the first two parts, the mass is found to be 17 kg.

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