A 150kg cart moving at 13m/s east collided with a 420kg wagon

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The discussion revolves around a physics problem involving a collision between a 150kg cart and a 420kg wagon. The cart, initially moving east at 13m/s, rebounds westward at 3m/s after the collision. The conservation of momentum equation is applied to find the speed of the wagon post-collision. The initial calculation yielded 8.57m/s, but the correct answer is identified as 11m/s. The importance of correctly applying signs in momentum equations is emphasized in the solution process.
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Homework Statement


A 150kg cart moving at 13m/s east collided with a 420kg wagon moving at 5m/s east.The cart rebounded westward with a speed of 3m/s. What was the speed of the wagon after the collision?


Homework Equations



m1v1+m2v2=m'1v'1+m'2v'2


The Attempt at a Solution


I solved the problem with this formula but i got 8.57m/s as the answer but the correct answer should be 11m/s.
 
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Watch your signs(+/-)
 


thanks!
 
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