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A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill
Chapter 5, Problem 14P(choose chapter or problem)
Problem 14P
A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill (radius = 95 m) at 22 m/s. Determine (a) the normal force exerted by the road on the car, (b) the normal force exerted by the car on the 72-kg driver, and (c) the car speed at which the normal force on the driver equals zero.
Questions & Answers
QUESTION:
Problem 14P
A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill (radius = 95 m) at 22 m/s. Determine (a) the normal force exerted by the road on the car, (b) the normal force exerted by the car on the 72-kg driver, and (c) the car speed at which the normal force on the driver equals zero.
ANSWER:
Solution 14P:
Step 1 of 2:-
a)
The mass of the car is: .
Radius of the rounded hill is: .
The speed of the car is: .
As the car is moving around the circular hill, it must experience the centrifugal force which is equal in magnitude but opposite to the centripetal force.
------------------------(1)
The force equation will be,
.
So, the normal force by the road to the car will be: 4565.7 N.