- #1

Emily_20

- 55

- 0

## Homework Statement

A 0.031 kg bullet is fired from a shotgun of mass 3.63kg at 420 m/s. If the collision of the recoiling gun with your shoulder takes 0.013s, what is the average force the gun exerts against your shoulder?

## Homework Equations

p = m • v[/B]

**vf=vi + at**

F=ma

## The Attempt at a Solution

I calculated the velocity of the gun from the momentum equation : 0+0=mbf*vbf-mgf*gf

which is 3.587 m/s

Then I used the kinematics equation to solve for the acceleration: 3.587 m/s=0 + a (0.013 s) which is 275.9 m/s^2

Then I used the force equation to find the force: (275.9 m/s/s) * (3.63 kg) = 1002 N. Is it right? I am worried about the acceleration because the number is high. Thanks for help.