Question

A machine gun fires 200 bullets per minute with a velocity of 60 m/s. What is the
power of the machine gun, given that the mass of each bullet is 0.05 g?​

Answer 1

Answer:

power = n/t fxv I hope this is write

Answer 2

Given :

A machine gun fires 200 bullets per minute with a velocity of 60 m/s.

Mass of each bullet is 0.05 kg

(Unit of mass of the bullet should be kg in the question.)

To Find :

Power of the machine gun.

Solution :

❖ We know that power is measured as the rate of work done per unit time.

• It is a scalar quantity having only magnitude.
• SI unit : W

First of all we have to find work done or better to say kinetic energy of bullets.

Kinetic energy of n bullets is given by

➠ K = n × 1/2 mv²

➠ K = 200 × 1/2 (0.05) (60)²

➠ K = 100 × 0.05 × 3600

➠ K = 5 × 3600

➠ K = 18,000 J

♦ Power of the machine gun :

$\sf:\implies\ Power=\dfrac{Energy}{Time}$

• Time = 1 min = 60 s

$\sf:\implies\:P=\dfrac{18000}{60}$

$:\implies\:\underline{\boxed{\bf{\orange{P=300\:W}}}}$