Question

A 3.00-kg rifle fires a 0.00500-kg bullet at a speed of 300 m/s. Which force is greater in magnitude:(i) the force that the rifleexerts on the bullet; or (ii) the force that the bulletexerts on the rifle?A. the force that the rifle exerts on the bulletB. the force that the bullet exerts on the rifleC. both forces have the same magnitudeD. not enough information given to decide

Answer 1

Answer:

C. both forces have the same magnitude

Explanation:

Here the action force is equal to the reaction force in accordance with the Newton's third law of motion.

Also when we apply the conservation of momentum so that the momentum bullet and the momentum of the gun are equal and according to the second law of motion by Newton, we have force equal to the rate of change in momentum.

We have the equation for momentum as:

$p=m.v$

Newton's second law is Mathematically given as:

$F=\frac{dp}{dt}$

Momentum is constant and the reaction time is equal, so the force exerted will also be equal.