Question

A machine gun fires ten 100 g bullets per sec
at a speed of 600 m/s. What is the acceleration
of machine gun if its mass is 100 kg is placed
on frictionless platform​

Answer 1

Explanation:

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Answer 2

Answer:

The acceleration of the machine gun is 6ms⁻².

Explanation:

The momentum of the bullet is given as,

$P=nmv$        (1)

Where,

P=momentum of the bullet

n=number of bullets

m=mass of the bullets

v=velocity of the bullet

From the question we have,

n=10 bullets/s

m=100g=0.1 kg

v=600m/s

t=1 second

Mass of the gun(M)=100kg

By substituting the values in equation (1) we get;

$P=10\times 0.1\times 600=600$       (2)

Force(F) can be given as,

$F=\frac{P}{t}$       (3)

$F=Ma$    (4)

By equating equations (3) and (4) we get;

$Ma=\frac{P}{t}$     (5)

By putting the required values in equation (5) we get;

$100\times a=600$

$a=\frac{600}{100}=6m s^-^2$

Hence, the acceleration of the machine gun is 6ms⁻².