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?
pi=pix i + piy j + piz 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 pi using the equation above and then took the magnitude of that to find pf as shown below:
(-(850 kg)(25.0 m/s) i)2 + ((1050 kg)(10.5 m/s) j)2=pf2
I then took the pf value and set that equal to the total mass times the velocity:
2.39 x 104 kg*m/s=(850 kg + 1050 kg)v
I then solved for v to get the following: