A 1500 kg sedan goes through a wide intersection traveling from north to south when it is hit by a 2200 kg SUV traveling from east to west. The two cars become enmeshed due to the impact and slide as one thereafter. On-the-scene measurements show that the coefficient of kinetic friction between the tires of these cars and the pavement is 0.75, and the cars slide to a halt at a point 5.39 m west and 6.43 m south of the impact point. How fast was each car traveling just before the collision?

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A 1500 kg sedan goes through a wide intersection traveling
from north to south when it is hit by a 2200 kg SUV traveling from east
to west. The two cars become enmeshed due to the impact and slide as
one thereafter. On-the-scene measurements show that the coefficient of
kinetic friction between the tires of these
cars and the pavement is 0.75, and the cars
slide to a halt at a point 5.39 m west and
6.43 m south of the impact point. How
fast was each car traveling just before the
collision?

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