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Two vehicles with the same mass collide and lock together traveling 28 m/s at 37 degrees north of east after the collision. How fast was the car traveling that was heading north while the other vehicle was traveling east?

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Perform a momentum balance.

Let V1 be the north-going car velocity, and V2, be the east-going car's velocity.

M V1 = 2M*28 sin 37
M V2 = 2M*28 cos 37

You can solve for both V1 and V2. The M's cancel.

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