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## Homework Statement

A 850 kg car is traveling west at 25.0 m/s when it collides with a 1050 kg car that was initially traveling north at 10.5 m/s. The cars lock together, and eventually skid to a stop.

What is the velocity of the cars immediately after the collision?

## Homework Equations

**p**

_{i}=p

_{ix}i + p

_{iy}j + p

_{iz}k

## The Attempt at a Solution

I got an answer but I'm not sure if it is correct. I just need someone to verify if what I did is correct.

Here's what I did:

I found

**p**

_{i}using the equation above and then took the magnitude of that to find

**p**

_{f}as shown below:

(-(850 kg)(25.0 m/s) i)

^{2}+ ((1050 kg)(10.5 m/s) j)

^{2}=

**p**

_{f}

^{2}

I then took the

**p**

_{f}value and set that equal to the total mass times the velocity:

2.39 x 10

^{4}kg*m/s=(850 kg + 1050 kg)v

I then solved for v to get the following:

v=12.6 m/s