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Question

Two spheres are moving towards each other. Both have same radius but their masses are 2 kg and 4 kg. If their velocities are 4 m/s and 2 m/s respectively and coefficient of restitution is e = 1/3, find the common velocity along the line of impact.
300712_c155fae5001945068513428dee9fd603.png

A
0 m/s
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B
8 cos 30 m/s
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C
4 cos 30 m/s
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D
6 cos 30 m/s
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Solution

The correct option is A 0 m/s
Answer is A.
By conservation of momentum along line of impact
2(4cos30)4(2cos30)=(2+4)v
Therefore, V = 0 (common velocity along LOI). Please refer the given image.
315163_300712_ans_a17b472c6d02415c8f64c8e76bf78413.png

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