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## Homework Statement

I was wondering if anybody might help me on this UNLESS i did this correct, but I'm not totally sure.

Well here's the question.

Jorge and Elizabeth are both going to the Antique Road show on PBS. Jorge pushes an antique desk weighing 300kg on a car to the right, while Elizabeth pushes a similar cart to the left with a dresser weighing 225kg. The mass of each cart is 500kg and Jorge pushes his with a speed of 3.0m/s and Elizabeth at a speed of 4.0m/s. If the cars collide and stick together then what is their final velocity and which direction are they headed?

## Homework Equations

KE=1/2*m*v^2

P=mv

## The Attempt at a Solution

Car 1

500kg+300kg=800kg

3.0 m/s to the left

KE=(.5)mv^2

KE=(.5)(800)(3.0)^2

KE=3600

Car 2

225kg+500kg=725kg

4 m/s to the right

KE=(.5)mv^2

KE=(.5)(725)(4.0m/s)^2

KE=5800

5800-3600=2200

KE=(.5)mv^2

2200=(.5)(mass of Car1 and 2, 1525kg)( v )^2

Solved using calculator

Answer

V=1.6986m/s to the right

Am I right?

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