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Two objects of masses 100 g and 200 g are moving along the same line and direction, with velocities of 2 ms-1 and 1 ms-1, respectively. They collide, and after the collision, the first object moves at a velocity of 1.67 ms-1. Determine the velocity of the second object.

Asked by Topperlearning User 18th March 2015, 1:10 PM
Answered by Expert
Answer:

 

begin mathsize 12px style Total space momentum space of space system space before space collision space equals space Total space momentum space of space system space after space collision
straight m subscript 1 straight u subscript 1 space plus space straight m subscript 2 straight u subscript 2 space end subscript equals space straight m subscript 1 straight v subscript 1 space plus space straight m subscript 2 straight v subscript 2
0.1 space cross times space 2 space plus space 0.2 space cross times space 1 space equals space 0.1 space cross times space 1.67 space plus space 0.2 space cross times space straight v subscript 2
0.2 space plus space 0.2 space equals space 0.167 space plus space 0.2 straight v subscript 2
straight v subscript 2 space equals space fraction numerator 0.2 space plus space 0.2 space minus space 0.167 over denominator 0.2 end fraction space equals space fraction numerator 0.233 over denominator 0.2 end fraction space equals space 1.165 space ms minus 1 end style

Answered by Expert 18th March 2015, 3:10 PM
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