7.A road on a college campus has sharp, level curve with a radius of 46.4 m that

Question

7.A road on a college campus has sharp, level curve with a radius of 46.4 m that has a speed limit of 39 km/h. After a serious accident a physics professor discovers that the surface was covered with gravel that reduced the coefficient of static friction to 0.208. What is the maximum safe speed (in km/h) one can drive on the curve when the road is covered with the gravel?

8.8.A platform scale calibrated in newtons is placed on the bed of a truck driven at a constant speed of 19 m/s. A box weighing 473 N is placed on the scale. Find the reading on the scale if the truck passes through the bottom of a dip with a radius of curvature of 86 m.

Explanation / Answer

7.A road on a college campus has sharp, level curve with a radius of 46.4 m that has a speed limit of 39 km/h. After a serious accident a physics professor discovers that the surface was covered with gravel that reduced the coefficient of static friction to 0.208. What is the maximum safe speed (in km/h) one can drive on the curve when the road is covered with the gravel?

m v^2/R = u m g

==> v = sqrt(u g R) = sqrt(0.208*9.8*46.4) = 9.73 m/s = 35.0 km/h

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