1 A 540 kg car is merging onto the interstate on a banked curve. The curve is banked 7.1 degrees from the horizontal and is rated at 35 mph. The car takes the turn at 52 mph (23 m/s). What sideways frictional force is required between the car and the road in order for the car to stay in its lane? The radius of the curve is 210 m.

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1 A 540 kg car is merging onto the interstate on a banked
curve. The curve is banked 7.1 degrees from the horizontal
and is rated at 35 mph. The car takes the turn at 52 mph (23
m/s). What sideways frictional force is required between the
car and the road in order for the car to stay in its lane?
The radius of the curve is 210 m.
Transcribed Image Text:1 A 540 kg car is merging onto the interstate on a banked curve. The curve is banked 7.1 degrees from the horizontal and is rated at 35 mph. The car takes the turn at 52 mph (23 m/s). What sideways frictional force is required between the car and the road in order for the car to stay in its lane? The radius of the curve is 210 m.
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SOLUTION:

At the banked road, the friction force required for the car to stay in the lane is,

f=μkN   =μkmgcos7.1°

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