# Simple recoil velocity question

#### LIZard137

1. The problem statement, all variables and given/known data
A cannon of mass 1500 kg fires a 10 kg shell with a velocity of 200 m/s at an angle of 45 degrees above the horizontal. Find the recoil velocity of the cannon across the level ground.

2. Relevant equations
Conservation of Momentum equation:
0=m1v1f + m2v2f
v1f = - (m2/m1)(v2f)

3. The attempt at a solution

Ok so I'm having trouble with this problem. I could've sworn I was doing it correctly, but here it goes. Because the cannon and the cannon ball are both at rest, initial velocities don't play a part in this question (I think?). So plugging in the numbers into the equation I got:

M1 = 1500
M2 = 10
V2f = 200

V1f = - (10/1500)(200) = -1.33 m/s

The anwser to this question is 0.94 m/s, and I cant figure out what I'm doing wrong for the life of me. Any push in the right direction would be awesome!

#### The legend

the thing is ... use just m1v1+m2v2=0 and then find out the velocity of the cannon..
Now the question asked is to find the velocity of the cannon along the ground... so what you have to do is find the component of velocity in the angle given.

Anyway , your answer is partly correct.. you just gotta do the component part.

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