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Question

Question: The two diagrams show the situation before and after a collision between two spheres A and B of equa...

The two diagrams show the situation before and after a collision between two spheres A and B of equal radii moving along the same straight line on a smooth horizontal surface. The coefficient of restitution e is –

A

23\frac{2}{3}

B

12\frac{1}{2}

C

13\frac{1}{3}

D

14\frac{1}{4}

Answer

12\frac{1}{2}

Explanation

Solution

e = v2v1u1u2\frac{v_{2}–v_{1}}{u_{1}–u_{2}} = u1=8m/s,v1=2m/su_{1} = 8m/s,v_{1} = 2m/s u2=2m/s,v2=5m/su_{2} = 2m/s,v_{2} = 5m/s