Question

A machine gun is mounted on a 5 quintal vehicle on a smooth horizontal road. The gun fires 10 bullets per second each of mass 10 gram with a speed of 500 metre per second the acceleration produced in the vehicle is a/10 ms–² find the value of a.​

Answer 1

Answer:

a=1

Explanation:

here,F=nmv

n=number of bullets

m=mass of bullets

v=velocity of bullets

F=0.01×10×500

F=50

now,as we know

F=ma

m=mass of vehicle

50=500×a

a=1/10

a/10=1

Answer 2

The value of a is 1.

Explanation:

Given that,

Mass of vehicle = 5 quintal

Number of bullet = 10

Mass of bullet = 10 g

Speed = 500 m/s

We need to calculate the force of bullet

Using formula of force

$F = nmv$

Where, n = number of bullet fired per sec

m = mass of bullet

v = speed of bullet

Put the value into the formula

$F=10\times0.01\times500$

$F=50\ N$

We need to calculate the value of a

Using formula of acceleration

$F = ma$

Put the value into the formula

$50=5\times100\times\dfrac{a}{10}$

$a=\dfrac{500}{500}$

$a = 1\ m/s^2$

Hence, The value of a is 1.

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