Q9. A machine gun is mounted on a flat rail road car. The gun is firing bullets at the rate of 10 bullets per second each of mass 10 g. The bullets come out with a velocity 500 m/s. relative to the car. Calculate the acceleration of the car at the instant when its mass is 200 kg. Also calculate the force at the instant.

 

Asked by sbidipak | 5th Jul, 2017, 07:34: PM

Expert Answer:

begin mathsize 12px style GIven space data space velocity space equals space 500 space straight m divided by straight s space and space the space
Here space we space use space the space relation space Relative space velocity space equals space Reacting space force space equals space relative space velocity space cross times space Mass over Time
rightwards arrow space Reacting space force space equals space 500 space cross times space open parentheses fraction numerator 10 space cross times space 10 over denominator 1000 end fraction close parentheses space equals space 50 space straight N
Using space the space relation space straight F space equals space ma comma space we space can space calculate space apostrophe straight a apostrophe.
On space calculating space we space get space straight a space equals space 0.25 space ms to the power of negative 2 end exponent space space space space space end style

Answered by Yashvanti Jain | 6th Jul, 2017, 12:05: PM