A 910-kg sports car collides into the rear end of a 2100-kg SUV stopped at a red

Question

A 910-kg sports car collides into the rear end of a 2100-kg SUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 2.5m before stopping. The police officer, estimating the coefficient of kinetic friction between tires and road to be 0.80, calculates the speed of the sports car at impact.

1.A 910-kg sports car collides into the rear end of a 2100-kgSUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 2.5m before stopping. The police officer, estimating the coefficient of kinetic friction between tires and road to be 0.80, calculates the speed of the sports car at impact.

1.What was the speed sports car at impact?

Explanation / Answer

velocity of both cars after impact = sqrt(2*0.8*10*2.5) = 6.32m/s

speed of sports car before impact = 6.32*(910+2100)/910 = 20.91 m/s

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