sphere x of mass' m 'moving with momentum 'p' makes head on collision with a stationary sphere Y of mass m/2 . if x gives an impulse J to Y .the coefficient of restitution is
Answers (2)
8th May, 2020
hello!!!!!!!!!
let u1-u2 =v
Coefficient of restitution = v1 - v2 / u1 - u2
v1=m1-m2/m1+m2
= ((m-m/2) / m+m/2)*v
by solving, we get
=(1/3)v
similarly,v2=(4/3)v
then coefficient of restitution = (1/3 -4/3)*v /v
v gets cancelled
finally we get coefficient of restitution = -1
but coefficient of restitution will be positive
so coefficient of restitution = 1
I HOPE IT HELPS!!!!
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Student Expert
7th May, 2020
Hey!
Impulse J=ΔP
For X : impulse : −J=px−p which means px=p−J
For Y : impulse : J=py
Coefficient of restitution equation , (py−px) /(0-p)=−e
= py−px=ep
J−(p−J)=ep
Which means coefficient of restitution = e=[(2J) /p] −1
Hope it helps .
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