The maximum speed of the car is 24.3 m/s
Explanation:
For a car moving along an unbanked turn, the frictional force provides the centripetal force required to keep the car in circular motion. Therefore, we can write:
where the term on the left is the frictional force while the term on the right is the centripetal force, and where
is the coefficient of friction between the tires and the road
m is the mass of the car
is the acceleration of gravity
v is the speed of the car
r = 150 m is the radius of the curve
Solving for v, we find the (maximum) speed at which the car can move along the turn:
For speed larger than this value, the frictional force is no longer enough to keep the car along the turn.
Learn more about circular motion:
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