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# Coefficient of kinetic friction, incline

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A child slides down a slide with a 30 degree incline, and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.

Police lieutenants, examining the scene of an accident involving two cars, measure the skid marks of one of the cars, which nearly came to a stop before colliding, to be 79 m long. The coefficient of kinetic fricition between rubber and pavement is about .60. Estimate the initial speed of that car, assuming a level road.

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#### Solution Preview

Please see the attached file for detailed solution.

A child slides down a slide with a 30 degree incline, and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.

There are three forces on the child: gravity mg, the normal force N, and the friction force f when ...

#### Solution Summary

It shows how to calculate the coefficient of kinetic friction between the slide and the child. Also, based on the skid marks of the card during collision, it shows how estimate the initial speeds of the cars.

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