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Grade 11Discuss with colleagues and IITians

A small ball moves towards right with a velocity . It collides with thte wall and returns back and continues a to and fro motion. If the average speed for the first and to fro motion is (2/3) v , find the coefficient of restitution of impact (in 10^ – 1). Please reply soon

Profile image of muktesh singh
11 Years agoGrade 11
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1 Answer

Profile image of Arun
6 Years ago
Time during to motion is t 
1
​ 
 = 
V
s
​ 
 
Time during fro motion is t 
2
​ 
 = 
eV
s
​ 
 
Total time is t=t 
1
​ 
 +t 
2
​ 
 
Total distance is 2s
So, average speed is  
t
2s
​ 
 = 
V
s
​ 
 + 
eV
s
​ 
 )
2s
​ 
 = 
(1+e)
2eV
​ 
 = 
3
2V
​ 
 ⇒e=0.5