What Was the Speed of the SUV Before the Collision in Phystown?

AI Thread Summary
The discussion focuses on analyzing a collision between a Toyota and an SUV in Phystown to determine the SUV's speed before the impact. The conservation of momentum equation is applied, where the momentum of both vehicles before the collision equals the momentum after they collide and move together. Participants emphasize the importance of breaking down the momentum into components due to the vehicles' differing directions. It is suggested to apply conservation principles separately for the x and y directions to accurately calculate the SUV's speed. Properly considering these components is crucial for solving the problem effectively.
Hannahj1
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Homework Statement


A collision in Phystown is being analyzed by the O.P.P. accident analysis team. A 1000 kg Toyota known to be moving at 65 km/h [W] collided at an intersection with a 3000 kg SUV moving [N]. After the collision, the two vehicles "stuck" together and the police estimate that immediately after impact the Toyota-SUV wreckage moved at 45 km/h. Based on this information, what was the speed of the SUV before the collision?

Homework Equations


mv1 + mv2 = v (m1 +m2)

The Attempt at a Solution


I just plugged in values into the equation that i was given from the question...
(1000)(-18.1) + 3000v2 = 12.5 (4000) -> i made E and N positive

I was just wondering if i did this right! should i do components since i have directions in y and x directions? Thank you!
 
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Hannahj1 said:
should i do components since i have directions in y and x directions?
You certainly should consider the components. You cannot add momenta that are in different directions.
Apply conservation of momentum in each of the two directions separately.
 
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