1. Tardigrade
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  4. An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms-1 and the second part of mass 2 kg moves with 8 ms-1 speed. If the third part files off with 4 ms-1 speed, then its mass is :

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Q. An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1\, kg$ moves with a speed of $12 \, ms^{-1}$ and the second part of mass $2 \,kg$ moves with $8 \, ms^{-1}$ speed. If the third part files off with $4 \, ms^{-1}$ speed, then its mass is :

NEETNEET 2013Laws of Motion

Solution:

From conservation of momentum
$ m(4) = \sqrt{ (1 \times 12)^2 + (2 \times 8)^2} \Rightarrow m = 5 kg $

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