
Concept explainers
To Find: The safe range of speeds

Answer to Problem 97P
Explanation of Solution
Given Information:
Radius of the curve is
Mass of the car,
Speed of the car is
The coefficient of static friction between the road and the tires is
Formula Used:
Newton’s second law of motion:
Where, m is mass and a is acceleration.
Calculation:
From the Free body diagram is shown above. When the coefficient of static friction is zero along x-axis,
And along y-axis
Along x-axis
And along y-axis
Now the force of static friction is given as
Substituting
Now dividing
Now when the car is traveling at maximum speed:
Along x-axis
And along y-axis
Now the force of static friction is given as
Substituting
Now dividing
Conclusion:
The safe range of speed is
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Chapter 5 Solutions
Physics for Scientists and Engineers, Vol. 1
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