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A racing driver negotiates a corner of radius 20 m at a speed of 8.5 m/s...

A racing driver negotiates a corner of radius 20 m at a speed of 8.5 m/s on level ground without slipping. The mass of the car is 600 kg and that of the driver is 91 kg.

a. Calculate the total frictional force acting on the wheels as the corner is made.

b. After this, the driver then negotiates a corner, which is banked at 30 degrees to the horizontal. The radius of this circular path is also 20 m.

i. Draw a free body diagram of the car on the incline.

ii. What is the maximum speed he can travel around the corner if no frictional forces are acting?

iii. If however, a frictional force is acting, would it be directed up or down the incline? Also, state whether the maximum speed would be greater or less than that calculated in (ii).

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