Solving 6kg Cat on Wagon Mass Problem

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Homework Statement



If a 6 kilogram cat walks on a stationary cart 1 m/s straight and then the wagon moves back at a speed of 3 m/s what's the mass of the cart?

Homework Equations


The Attempt at a Solution



I was thinking it would be a momentum problem, so mv of cat = mv of cart

I'm not sure I got this right...
 
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I Like Pi said:
I was thinking it would be a momentum problem, so mv of cat = mv of cart
Assuming that both the cat and the cart are at rest when the cat is not walking, yes, I agree with you. :approve:
 
Just for clarity though, Be careful about direction. What I should clarified in my last post is

mcatvcat + mcartvcart = 0,

where the velocities can be positive or negative, depending on the direction.