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A grenade is thrown in a horizontal direction with a velocity of 10m/sec and explodes into two parts weighing 1 kg-wt and 1.5kg-wt. The velocity of the larger fragment remains horizontal after the explosion and increases to 25m/sec. Find the velocity and direction of flight of the smaller fragment.

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Answer:

Explanation:

The sum of the momenta of the grenade fragments before the explosion is m1v0 + m2v0 and after the explosion m1v1 + m2v2; since the change in the momenta of the grenade fragments results only from internal forces, then, according to the law of conservation of momentum 

m1V0  + m2V0 = m1V0 + m2V2,

The minus sign before the velocity indicates that after the explosion the smaller fragment moves in a direction opposite to the initial motion of the grenade. 

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