First slide

Law of conservation of momentum and it's applications

Question

A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant the gun fires bullets of mass 10 gm with a velocity of 500 m/sec with respect to the car. The number of bullets fired per second is ten. The average thrust on the system is

Moderate

A

550 N
B

50 N
C

250 N
D

250 dyne

Solution

u = velocity of bullet
$\frac{d m}{d t} = Mass thrown per second by the machine gun$
$\begin{array}{l} = Mass of bullet \times Number of bullet fired per second \\ = 10 g \times 10 bullet / \sec = 100 g / \sec = 0.1 kg / \sec \end{array}$
$∴ Thrust = \frac{u d m}{d t} = 500 \times 0.1 = 50 N$

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