CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A machine gun fires 360 bullets per minute. Each bullet moves with a  velocity of 600 ms$$^{-1}$$. If the power of the gun is 5.4 kw, the mass of each bullet is,


A
5 kg
loader
B
0.5 kg
loader
C
0.05 kg
loader
D
5 gm
loader

Solution

The correct option is D 5 gm

Given,

Number of bullets, $$n=360\,nos.$$

Mass of bullet, $$m$$

Power, $$=5400watt$$

Kinetic energy of 360 bullets, $$K.E=n\times \dfrac{1}{2}m{{v}^{2}}=360\times \dfrac{1}{2}\times m\times {{600}^{2}}=648\times {{10}^{5}}m\,\,J$$

$$ Power=\dfrac{kineticenergy}{time} $$

$$ 5400=\dfrac{648\times {{10}^{5}}m}{60} $$

$$ m=5\times {{10}^{-3\,}}kg\,=\,5\,gram\, $$

Hence, weight of each bullet is $$5\,gram$$


Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image