Flag Mechanics> need help on mechanics...
question mark

A machine gun fires 25g bullates at the rate of 600 per minute with a speed of 400 m/s . Calculate the force required to keep the gun in position.

Jayati Dinesh Bharadwaj , 14 Years ago
Grade 10
anser 2 Answers
aditya suman

Last Activity: 14 Years ago

Gun fires 600 bullets in 1 minute so,

no.of bullets fired in 1 second=10

now time taken by 1 bullet to get fired=1/10sec=0.1sec

initial velocity u=0m/s

final velocity v=400m/s

v=u+at 

400=0.1a

a=4000m/s2

now,force exerted by the bullet on the gun=force required to keep the gun in position

so,force exerted by 1 bullet f=ma=25*10-3*4000=100newtons

force exerted by 600 bullets=100*600=60000N                                                                 

Fawz Naim

Last Activity: 14 Years ago

The mass of one bullet is 25g=25/1000 kg

velocity of each bullet = 400m/s

therefore the momentum of each bullet=25/1000*400

momentum of 600 bullets(P) =25/1000*400*600

initial momentum of the bullets is zero and the rate of change of momentum=force applied by the bullets on the gun

to balance this force an equal and opposite force is to be applied to keep the gun in position

therefore force=P/60

 

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments