science check my answers?

A car travels around a circular turn of radius 50 meters while maintaining a constant speed of 15 m/s.

Find the minimum value for the coefficient of friction necessary to keep the car on the road.

I got .40 for the minimum value of friction.

In icy conditions, the coefficient of friction drops to 0.15. Now find the maximum safe speed for making the turn.

I got 8 m/s

Are these right?

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asked by Ryan
  1. centripetal force=mv^2/r

    friction force=centripetal force
    mg*mu= mv^2/r

    mu=v^2/(rg)

    b. again, friction force=centripetal force
    mg*mu=mv^2/r

    v^2=rg*mu
    solve for v

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