
(a)
To find: The weight of the car rolling down from the driveway.
(a)

Answer to Problem 49E
The weight of the car rolling down from the driveway is 2822.
Explanation of Solution
Given:
The angle formed by the car to the horizontal axis is
The force required to keep the car rolling down the driveway is 490 lb.
Calculation:
The figure below shows that the car is on a driveway that inclined an angle of
Figure (1)
From Figure (1), it can be observed that the car exerts force into two components u and v.
The angle formed between u and w is,
The magnitude of force that prevents the car from rolling down the driveway is,
Substitute 490 for F and
Thus, the weight of the car rolling down from the driveway is 2822.
(b)
To find: The force exerted by the car against the driveway.
(b)

Answer to Problem 49E
The force exerted by the car against driveway is 2779 lb.
Explanation of Solution
Given:
The angle formed by the car to the horizontal axis is
The force required to keep the car rolling down the driveway is 490 lb.
Calculation:
The magnitude of the force exerted by the car on the driveway is,
Substitute 2822 for w and
Thus, the force exerted by the car against driveway is 2779 lb.
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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