25. A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At
some instant the gun fires bullets of mass 10 gm with a velocity of 500 m/sec with
respect to the car. The number of bullets fired per second is ten. The average thrust
on the system is
(a) 550 N
(b) 50 N
(c) 250 N
(d) 250 dyne
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Answer:-
-
The average thrust exerted by ejected bullet is nothing but
the momentum gained by that bullet when fired
- Momentum can be understood as a force or an energy
gained by a moving object
- This force is given by F mv (mass and velocity of
bullet)
- But the number of bullets per second also amplifies this
momentum, therefore, the force in this case is expressed
as F n x mv ('n' is the number of bullets)
- Converting the mass of a bullet in kilograms we get
m=0.010 kgs.
- Check if all the units involved either belong to the SI
(prefered) or CGS system.
- Substituting the values of mv and n in the above formula
for 'F' we get,
F 10 x 0.010 x 500 = 50 N
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