Concept explainers
(a)
The net force on the car.
(a)
Answer to Problem 23P
The net force on the car is
Explanation of Solution
The car pulls the trailer with a particular force which provides the acceleration to the car in the forward direction.
Write the expression for the force acting on the car as.
Here,
Conclusion:
Substitute
Thus, the net force on the car is
(b)
The net force on the trailer.
(b)
Answer to Problem 23P
The net force on the car is
Explanation of Solution
The trailer is connected to the car. It will also move with the same acceleration as that of the car in the forward direction.
Write the expression for the force acting on the trailer as.
Here,
Conclusion:
Substitute
Thus, the net force on the trailer is
(c)
The force exerted by the trailer on the car.
(c)
Answer to Problem 23P
The force exerted by the trailer on the car is
Explanation of Solution
The car pulls the trailer by applying a force in the horizontal direction. By
Write the expression for the force exerted by the trailer on the car as.
Here,
The negative sign signifies that the force is acting in the opposite direction.
Conclusion:
Substitute
Thus, the force exerted by the trailer on the car is
(d)
The resultant force exerted by the car on the road.
(d)
Answer to Problem 23P
The force exerted by the car on the road is
Explanation of Solution
The car is moving on the road. The forces exerted by the road on the car are the reaction force of the gravitational force and the forward force in the forward direction.
Write the expression for the net force acting on the car due to road as.
Here,
The normal reaction by the road on the car is opposite to the weight of the car acting in the downward direction.
Write the expression for the normal reaction on the car from road as.
Here,
Write the expression for the net force acting on the car due to road as.
Here,
Write the expression for the angle made by the force with the horizontal as.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Thus, the force exerted by the car on the road is
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Chapter 5 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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