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Concept explainers
(a)
The frictional force on the car.
(a)
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Answer to Problem 31P
The frictional force on the car is
Explanation of Solution
Given that the radius of the curved path is
Let the the
The Free-body diagram of the car in the given situation is shown in Figure 1.
Write the condition for equilibrium of forces in the
Apply the condition in equation (II) to the free-body diagram of the car.
Here,
Solve equation (III) for
Apply the condition in equation (I) to the free-body diagram of the car.
Here,
Use equation (IV) in (V) and solve for
Conclusion:
Substitute
Therefore, the frictional force on the car is
(b)
The speed with which one must drive the car so that the
(b)
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Answer to Problem 31P
The speed with which one must drive the car so that the force of friction is zero is
Explanation of Solution
Write the expression for the force of friction for the given track.
The force of friction to be zero, the term
Solve equation (VII) for
Conclusion:
Substitute
Therefore, the speed with which one must drive the car so that the force of friction is zero is
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Chapter 5 Solutions
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