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Question

body of mass 10 kg moving with speed of 50m/sin east collides with another body of mass 15 kg moving with speed 25m/sin the west. what type of collision is this .
calculate speed of each ball after collision.

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Solution

This is the head on collisionlet u1 = 50 m/su2 = 25 m/sm1 = 10kgm2 = 15 kgv1 and v2 velocities after the collisionm1u1-m2u2 = m1v1+m2v2 law of conservation of momentum12m1u12+12m2u22 = 12m1v12+12m2v22 law ofconservation of KEtherefore10×50 - 15×25 = 10v1+15v210×50×50+15×25×25 =10v12+15v22 on solving these two equation you can easily find out the values of the velocities of twoo bodies.

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