How Does a Cannon's Recoil Relate to Momentum Conservation?

  • Thread starter TeaWay
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i'm just trying to get the hang of this site and stuff. so i'm just like posting anything and everything i get for homework. so i'm kinda new to all this. i'm still trying to figure out how to use this site and stuff. but thank you so much for trying to help me out. i appreciate it.
  • #1
TeaWay
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a 400kg cannon fires a cannon ball that exits at a speed of 20 m/s.

A) what was the momentum of the cannon and ball before it was fired ?

B) what is the momentum of the cannon ball alone after it was fired ?

C) what is the speed of the cannon as it recoils ?

Given
m = 400kg
vƒ (ƒ = final) = 20 m/s
vo= 0 m/s
(o = initial, that's the symbol i use for initial :P )
since the cannon ball was sitting in the cannon. so the initial velocity is 0 since
its sitting at rest.

Unknown
p (before)
p (after)
speed

Equations
v = p total / m

Δpƒ = m₁v₂ - m₁v₁ ( is this equation right ? )

also if it recoils meaning the momentum after would be the same as before ?
due to -p = p ?

so it would be like this..

Δp = 400kg(20m/s) - 400kg(0 m/s)
Δp = 8000 kg•m/s

then...

v= 8000 kg•m/s
400kg

v = 20 m/s

i want to make sure i did it right && i think i didn't answer all the questions correctly ; - ;..
 
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  • #2
Welcome to PF!

Hi TeaWay! Welcome to PF! :smile:

(try using the X2 icon just above the Reply box :wink:)

erm :redface:what is the mass of the ball? :confused:
 
  • #3
oh uh oops nvm about this question..sorry. i got help on solving this question after school with my teacher today :DD ! but thanks for the warm welcome lol.but thank you for trying to help out (: !
 

Related to How Does a Cannon's Recoil Relate to Momentum Conservation?

1. What is the problem with "Aiya.another momentum / recoil problem sorry."?

The problem is that it lacks context and specific information, making it difficult to determine the exact nature of the problem.

2. How does momentum and recoil relate to this problem?

Momentum and recoil are two physical concepts that are often related to each other. Momentum is the product of an object's mass and velocity, while recoil is the backward movement of an object caused by an external force.

3. Can you provide an example of a similar momentum / recoil problem?

One example could be a car crash, where the momentum of the moving vehicle is transferred to the stationary car, causing it to recoil and move backward.

4. What factors can affect the momentum and recoil in a problem like this?

The mass and velocity of the objects involved, as well as the forces acting upon them, are the main factors that can affect momentum and recoil.

5. How can this problem be solved?

In order to solve this problem, more information and context would be needed. This could include the specific objects involved, their masses and velocities, and the forces acting upon them. With this information, the equations for momentum and recoil could be used to calculate the solution.

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