Question

. A machine gun fires 360 bullets per minute and each bullet travels with a velocity of 600

ms

-1. If the mass of each bullet is 5gm, find the power of machine gun.​

Answer 1

Given data :

• A machine gun fires 360 bullets per minute.

• Each bullet travels with a velocity of 600 m/s.

• The mass of each bullet is 5 gram.

To find : The power of machine gun ?

Solution : According to given, a machine gun fires 360 bullets per minute.

Now, we need to find, how much bullets fires in one sec.

→ Number bullets fire in one sec, n = 360/60

→ Number bullets fire in one sec, n = 6

We know from given, the mass of one bullet is 5 gram.

Now, {we convert 5 gram into kilogram}

→ 5 gram = {5/1000} Kg

→ 5 gram = 0.005 Kg

→ Mass of one bullet, m = 0.005 Kg

→ Velocity of one bullet, v = 600 m/s

We know that, bullets need energy which is, kinetic energy (K.E.) to move forward, hence

→ K.E. of one bullets = ½ * m * v²

→ K.E. of one bullets = ½ * 0.005 * (600)²

→ K.E. of one bullets = ½ * 0.005 * 360000

→ K.E. of one bullets = 0.0025 * 360000

→ K.E. of one bullets = 0.0025 * 360000

→ K.E. of one bullets = 900 Joule

We know that, machine gun fires six bullets per sec. Hence, we need to find how much kinetic energy does a machine gun need to fire six bullets.

→ K.E to fire six bullets = 6 * 900

→ K.E to fire six bullets = 5400 Joule

We know that time taken by machine gun to fire six bullet is one sec. and firing six bullet is a work of machine gun, machine gun require kinetic energy to perform this work. Hence, Work = K.E.

Now, to find power of machine gun to fire six bullet in a sec.

→ Power = work/time

→ Power = K.E./time

→ Power = 5400/1

→ Power = 5400 watt

Hence, the power of machine gun to fire six bullet in a sec is 5400 watt

{ Note : 5400 watt = 5400 Joule/sec and 5400 watt = 5.4 Kw }

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Answer 2

Answer:

54kw

Explanation:

5400w converts to 54kw