Momentum and CollisionHardBloom L3
Question
In a one-dimensional collision between two identical particles A and B, B is stationery and A has momentum p before impact. During impact, B gives impulse J to A.
Options
A.The total momentum of the ‘A plus B’ system is p before and after the impact, and (p-J) during the impact.
B.During the impact A gives impulse of magnitude J to B
C.The coefficient of restitution is $\frac{2J}{p} - 1$
D.The coefficient of restitution is $\frac{J}{p} + 1$
Solution
Sol. 
(A) Psystem = P – J + J = P
(B) Impulse given to B = J
(C) 
mA = mB = m
e = $\frac{v_{2}^{'} - v_{1}^{'}}{v_{1} - 0} = \frac{J/m - (P - J)/m}{P/m\frac{2J - P}{P}\frac{2J}{P}}$
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