First slide

Collisions

Question

A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is

Moderate

A

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

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

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

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

Solution

Initially bullet moves with velocity b and after collision bullet get embedded in block and both move together with common velocity.
By the conservation of momentum
$\Rightarrow a \times b + 0 = (a + c) V \Rightarrow V = \frac{ab}{a + c}$

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