JEE Main 2013 Physics question

PhysicsMotion in a PlaneJEE Main 2013

A projectile of mass M is fired so that the horizontal range is 4 km. At the highest point the projectile explodes in two parts of masses M/4 and 3M/4 respectively and the heavier part starts falling down vertically with zero initial speed. The horizontal range (distance from point of firing) of the lighter part is :

Answer: (3)

Solution

At the top (2 km from the gun) the projectile has horizontal speed u. Momentum conservation: . Falling from the same height

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Question ID VK-104078