Momentum and CollisionHardBloom L3
Question
Three blocks are initially placed as shown in the figure. Block A has mass m and initial velocity v to the right. Block B with mass m and block C with mass 4m are both initially at rest. Neglect friction. All collisions are elastic. The final velocity of block A is
Options
A.0.6v to the left
B.1.4 v to the left
C.v to the left
D.0.4v to the right
Solution
Sol. 
for B – C collision
vcom = $\frac{mv}{5m} = \frac{v}{5}$
$v_{B}^{'} = 2v_{C} - v_{1} = 2 \times \frac{v}{5} - v = - \frac{3v}{5}$
B returns with $\frac{3v}{5}$
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