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h v Grade: 12
        

A ball of mass 'm' moving at a spped 'v' makes a head-on collision with an identical ball at rest . The kinetic energy of the balls after the collision is three fourths of the original. Find the coefficient of restitution.

7 years ago

Answers : (2)

pratham ashish
9 Points
										Hi,


just considr initial vel. of I ball = u

final vel. of I ball = v1
final vel. of II ball =v2

& coeff. of restitution = e

now,
e = vel. of separaion / vel. of approach

e = v2 -v1 / u
=> v2-v1 = eu ....(1)

momentum conservation => mu = mv1 +mv2 => u = v1 + v2 ...(2)

energy eqn 3/4((mu^2)/2)= 1/2*m (v1^2 + v2^2)

=> 3/4*(u^2) = (v1^2 + v2^2)

2*(v1^2 + v2^2)=(v1 + v2)^2 + (v2 -v1)^2
= u^2 + (eu)^2 {FROM 1& 2 }
=> 3/2 (u^2) = u^2 + (eu)^2

=> 1/2 (u^2) = (eu)^2

=> e = root(1/2)


7 years ago
h v
33 Points
										

thanks for the answer

6 years ago
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