Question

Each round has a muzzle velocity of 2,820 ft/s and a mass of 48.599 g. If the barrel of the rifle is 74 cm, with what force is each bullet fired?

a) 38.52 N
b) 48.15 N
c) 58.24 N
d) 68.41 N

Answer 1

To determine the force with which a bullet is fired, one must consider the muzzle velocity, mass of the bullet, and time over which acceleration occurs and use the formula F = m × a after finding the acceleration with a = Δv / Δt.

Step-by-step explanation:

The student is asking about the force with which a bullet is fired from a rifle, given its muzzle velocity and mass. The muzzle velocity is the speed of a bullet when it leaves the barrel of the gun. To find the force applied to the bullet by the gun, you would use the formula F = m × a, where m is the mass of the bullet and a is the acceleration experienced by the bullet.

The bullet's acceleration can be derived from its muzzle velocity (final velocity) and the duration of the acceleration using the formula a = Δv / Δt, where Δv is the change in velocity and Δt is the time period over which the acceleration occurs. Given that we have the muzzle velocity and the time, we can find the acceleration and subsequently the force.