A bullet of mass a is fired with velocity b in a large block... | PHYSICS - COLLISIONS | SolveeIt | Solveeit

Today, August 19

Question

A bullet of mass a is fired with velocity b in a large block of mass c. The final velocity of the system will be

A

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

B

$\frac{ab}{a + c}$

C

$\frac{(a + b)}{c}$

D

$\frac{(a + c)}{a}b$

Answer

$\frac{ab}{a + c}$

Explanation

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 a × b + 0 = (a + c) V

∴ $V = \frac{ab}{a + c}$