. 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.
Answers
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:
54kw
Explanation:
5400w converts to 54kw