Question

A machine gun fires 240 bullets per minute with a velocity 80ms. If the mass of each bullet is 0.04kg, than calculate the power of the gun.

Answer 1

Answer:

answer is 4.8 joule/sec

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Answer 2

Answer:

A machine gun fires 240 bullets per minute with a velocity of 80m/s. If the mass of each bullet is 0.04kg, then the power of the gun will be $512 \ Watt$

Explanation:

Let 'W' be the work done and 't' be the time,

Then power (P) can be expressed as,

P  $= \frac{\ W}{ t}$       ...(1)

Work done by the bullet will be equal to the change in kinetic energy which can be written as,

$K.E = \frac{1}{2} m v^{2}$  

where m - The mass of the bullet  and

           v - velocity

Let n be the number of bullets,

then power becomes,

$\text { Power }=n \times \frac{\frac{1}{2} m v^{2}}{t}$

Or

$P= \frac{n}{t} \times \frac{1}{2} m v^{2}$    ...(2)

In the question, it is given that,

$m = 0.04\ kg$

$v= 80\ m/s$

$\frac{n}{t} = \frac{240\ bullets}{minute}$

   $=\frac{ 240}{60\ s} = 4\ bullets\ per\ second$

Substitute the above values into equation(2)

We get,

$P= 4\times \frac{1}{2} \times0.04\times 80^{2}$

    $= 512\ Watt$

    $= 0.512 KW$

   

• The power $= 512\ Watt$