Question

A machine gun fires 360 bullets per minute and each bullet travels with a velocity of 600 m/s .If mass of each bullet is 5gm .Find the power of gun.

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A machine gun fires 360 bullets per minute and each bullet travels with a velocity of 600 m/s .If mass of each bullet is 5gm .Find the power of gun.

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Number of bullets (n) = 360 bullets/min

$\implies{\sf 1\:min→360 }$

$\implies{\sf 1\:sec→\dfrac{360}{60} }$

$\implies{\bf 1\:sec=6\:bullets/sec }$

• Velocity of bullet ( v )= 600 m/s
• Mass of bullet ( m ) = 5g or ${\sf 5×10^{-3}Kg}$

$\large\underline{\underline{\sf To\:Find:}}$

• Power of gun ( P ).

✪$\large{\boxed{\bf \blue{Power=n×Force×Velocity}}}$

$\implies{\sf P = n×\dfrac{mv}{t}×v }$

$\implies{\sf P =n× \dfrac{mv^2}{t} }$

$\implies{\sf P = 6×\dfrac{5×10^{-3}×(600)^2}{1}}$

$\implies{\bf \red{Power(P)= 10800\:Watt}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Power of gun is ${\bf \red{10800\:Watt}}$ .

Answer 2

Answer:

Power =5400W=5.4KW

Explanation: