Finding recoil speed given force, mass, and velocity

In summary: The left hand side of your equation is unchanged. What does that mean for the equation?The equation still holds. What does that mean for the rifle?The rifle still has a recoil speed of 260 m/s.
  • #1
mandy9008
127
1

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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  • #2
Hint: What's conserved as the rifle is fired?
 
  • #3
momentum?
 
  • #4
mandy9008 said:
momentum?
Yep. That's all you need to solve both parts.
 
  • #5
m1v1i + m2v2i = m1v1f + m2v2f
 
  • #6
mandy9008 said:
m1v1i + m2v2i = m1v1f + m2v2f
Sure. What's the initial velocity and momentum before the rifle is fired?
 
  • #7
velocity and momentum is 0
 
  • #8
mandy9008 said:
velocity and momentum is 0
Right. Keep going. You're given the final speed of the bullet.
 
  • #9
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?
 

Related to Finding recoil speed given force, mass, and velocity

1. How do I calculate the recoil speed with given force, mass, and velocity?

To calculate the recoil speed, you can use the formula: recoil speed = (force x velocity) / mass. Make sure to use consistent units for force, mass, and velocity.

2. Can I use this formula for any type of force?

Yes, you can use the formula for any type of force, as long as the units are consistent. However, keep in mind that the force used in the formula should be the net force, which is the total force acting on the object.

3. What units should I use for force, mass, and velocity?

The units used for force, mass, and velocity should be consistent. Common units for force are Newtons (N), for mass are kilograms (kg), and for velocity are meters per second (m/s).

4. How does mass affect the recoil speed?

The greater the mass of an object, the smaller the recoil speed will be. This is because the mass is in the denominator of the formula, so a larger mass will result in a smaller recoil speed.

5. Is there a limit to the recoil speed that can be achieved?

Yes, the maximum recoil speed that can be achieved is the velocity of the object before the force is applied. This is because the object can only move as fast as the force is pushing it, and once it reaches its original velocity, it will stop accelerating.

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