Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassMomentum conservationMedium2 minPYQ_2021
PhysicsMediuminteger

A ball of mass 10 kg moving with a velocity 103 m s-1 along the x -axis, hits another ball of mass 20 kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along y -axis with a speed of 10 m s-1. The second piece starts moving at an angle of 30° with respect to the x -axis. The velocity of the ball moving at 30° with x -axis is x m s-1. The configuration of pieces after the collision is shown in the figure below. The value of x to the nearest integer is

Answer:
20
Solution:

Let the velocity of2nd fragment isvthen by conservation of linear momentum
10(103)i^=(10)(10j^)+10v
v=103i^-10j^
|v|=300+100=400=20 m s-1.

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Momentum conservation
2mℹ️ Source: PYQ_2021

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