In a one dimensional collision between two identical particles A and B , B is stationary and A has momentum p before impact. During impact B gives an impulse J to A . Then the coefficient of restitution between the two is

Question

In a one dimensional collision between two identical particles A and B , B is stationary and A has momentum p before impact. During impact B gives an impulse J to A . Then the coefficient of restitution between the two is, 2 J P - 1, 2 J P + 1, J P + 1, J P - 1

MARKS App · Accepted Answer

Let p 1 and p 2 be the momenta of A and B after collision. Then applying impulse = change in linear momentum for the two particles For B : J = p 1 … ( i ) For A : J = p - p 2 Or p 2 = p - J … ( i i ) Coefficient of restitution e = P 1 - P 2 P = p 1 - p + J p = J - p + J p = 2 J p - 1

Search any question & find its solution

Looking for more such questions to practice?