Finding recoil speed given force, mass, and velocity

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SUMMARY

The discussion focuses on calculating the recoil speed of a rifle when a bullet is fired, utilizing the principles of conservation of momentum. A rifle weighing 25 N fires a 5.5 g bullet at a speed of 260 m/s. The key equations used are momentum conservation equations, specifically m1v1i + m2v2i = m1v1f + m2v2f. Participants clarify the conversion of bullet mass from grams to kilograms and emphasize the importance of identifying the mass of the rifle from its weight.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Ability to convert weight (N) to mass (kg)
  • Familiarity with basic physics equations: p=mv and F=p/t
  • Knowledge of unit conversions (grams to kilograms)
NEXT STEPS
  • Study the conservation of momentum in one-dimensional collisions
  • Learn how to convert between weight and mass in physics problems
  • Explore examples of recoil calculations in firearms physics
  • Investigate the effects of different bullet weights on recoil speed
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Physics students, educators, and anyone interested in understanding the mechanics of firearms and recoil dynamics.

mandy9008
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Homework Statement


A rifle with a weight of 25 N fires a 5.5 g bullet with a speed of 260 m/s.
(a) Find the recoil speed of the rifle.
(b) If a 725 N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle.


Homework Equations


p=mv
F=p/t


The Attempt at a Solution


I do not even know where to begin converting the mass to 0.0055 kg
 
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Hint: What's conserved as the rifle is fired?
 
momentum?
 
mandy9008 said:
momentum?
Yep. That's all you need to solve both parts.
 
m1v1i + m2v2i = m1v1f + m2v2f
 
mandy9008 said:
m1v1i + m2v2i = m1v1f + m2v2f
Sure. What's the initial velocity and momentum before the rifle is fired?
 
velocity and momentum is 0
 
mandy9008 said:
velocity and momentum is 0
Right. Keep going. You're given the final speed of the bullet.
 
okay, so it will be
mass 1 is 0.0055kg? then what is mass 2?
 
  • #10
mandy9008 said:
okay, so it will be
mass 1 is 0.0055kg? then what is mass 2?
Mass 2 is the mass of the rifle (at least in part a). You'll have to figure that out from the given information.
 
  • #11
okay, so
m1v1i + (0.0055 kg) (0 m/s) = m1v1f + (0.0055 kg) (260 m/s)

I am confused now
 
  • #12
mandy9008 said:
okay, so
m1v1i + (0.0055 kg) (0 m/s) = m1v1f + (0.0055 kg) (260 m/s)

I am confused now

You know weight of the rifle. Find mass of the rifle.
Before firing, rifle and bullet haven't moved yet. You can consider their velocities before firing.
 
  • #13
I suggest you write out all your equations and develop them before putting numbers in. Things are less messy then and thus more elegant.
 
  • #14
mandy9008 said:
okay, so
m1v1i + (0.0055 kg) (0 m/s) = m1v1f + (0.0055 kg) (260 m/s)

I am confused now
You switched them around. You have m2 as the mass of the bullet, which means that m1 is the mass of the rifle (for part a). That's fine.

You are given the weight of the rifle in Newtons, so what's its mass?

Since the initial speed of everything is zero, what does that do to the left hand side of your equation?
 

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