A banked curve makes it safer to drive on curved roads even if it seems more dangerous. The following is a 1200-kg car on a banked curve at 20° from the horizontal.
However, the car is driving at 25 m/s, which is actually higher than the recommended speed limit for the banked curve. This means friction is required to provide the remaining force needed to complete the turn. And the radius is 80m.
a.) Draw the free-body diagram for this problem.
b.) Find the centripetal force needed to keep this car at 25 m/s, in N
c.) Find the amount of centripetal force provided only by the normal force, in N.
d.) Find the remaining amount of centripetal force needed from friction to keep the car moving at 25 m/s, in N