First slide

The steps in collision

Question

A body of mass a moving with velocity b strikes a body of mass c and gets embedded into it. The velocity of the system after collision is

Moderate

A

$\frac{a + c}{a b}$
B

$\frac{a b}{a + c}$
C

$\frac{a}{b + c}$
D

$\frac{a}{a + b}$

Solution

As, $m_{1} v_{1} + m_{2} v_{2} = (m_{1} + m_{2}) v$
$∴ a \cdot b + c \cdot 0 = (a + c) v \Rightarrow v = \frac{a b}{a + c}$

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