1.

Two identical balls each of mass m moving on straight track approaching towards each other with same speed. Find kinetic energy of the two ball system is equal to the total energy loss during collision E is the total kinetic energy of the balls before collision and E' is after collision and coefficient of restitution is e. Then choose the correct options.

Answer»

`(E)/(E') = 2`
`e=(1)/(2)`
`e=(1)/(sqrt(2))`
`(E)/(E')=sqrt(2)`

SOLUTION :
`E = m u^(2)`
`DELTA E=(1)/(2)((m)/(2))(2U)^(2)(1-e^(2))=m u^(2)(1-e^(2))`
`E'=E=DeltaE = m u^(2) (1-1+e^(2))=m u^(2)e^(2)`
since `E' = Delta E`
`m u^(2)e^(2)=m u^(2)(1-e^(2))`
`e^(2)=1-e^(2)rArr e^(2)=(1)/(2)rArr e=(1)/(sqrt(2))`
and `(E)/(E')=(1)/(e^(2))=2`


Discussion

No Comment Found

Related InterviewSolutions