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Chapter 4: Problem 70

A towline is attached between a car and a glider. As the car speeds due east along the runway, the towline exerts a horizontal force of \(850 \mathrm{N}\) on the glider. What is the magnitude and direction of the force exerted by the glider on the towline?

Short Answer

Expert verified
Answer: The magnitude of the force exerted by the glider on the towline is 850 N, and the direction is towards the west.

Step by step solution

01

Recall Newton's Third Law of Motion

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. In other words, the forces exerted by two objects on each other are always equal in magnitude but have opposite directions.
02

Determine the magnitude of the force exerted by the glider

Since the force exerted by the towline on the glider is 850 N, by Newton's Third Law, the force exerted by the glider on the towline must have the same magnitude. Therefore, the magnitude of the force exerted by the glider is 850 N.
03

Determine the direction of the force exerted by the glider

As previously mentioned, the forces exerted by two objects on each other have opposite directions. So, if the force exerted by the towline on the glider is directed towards the east, then the force exerted by the glider on the towline is directed towards the west.
04

State the magnitude and direction of the force exerted by the glider

The magnitude of the force exerted by the glider on the towline is 850 N and the direction is towards the west.

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Most popular questions from this chapter

At what altitude above the Earth's surface would your weight be half of what it is at the Earth's surface?
A skydiver, who weighs \(650 \mathrm{N},\) is falling at a constant speed with his parachute open. Consider the apparatus that connects the parachute to the skydiver to be part of the parachute. The parachute pulls upward with a force of \(620 \mathrm{N} .\) (a) What is the force of the air resistance acting on the skydiver? (b) Identify the forces and the interaction partners of each force exerted on the skydiver. (c) Identify the forces and interaction partners of each force exerted on the parachute.
A cord, with a spring balance to measure forces attached midway along, is hanging from a hook attached to the ceiling. A mass of \(10 \mathrm{kg}\) is hanging from the lower end of the cord. The spring balance indicates a reading of \(98 \mathrm{N}\) for the force. Then two people hold the opposite ends of the same cord and pull against each other horizontally until the balance in the middle again reads \(98 \mathrm{N} .\) With what force must each person pull to attain this result?
Refer to Example 4.19. What is the apparent weight of the same passenger (weighing \(598 \mathrm{N}\) ) in the following situations? In each case, the magnitude of the elevator's acceleration is $0.50 \mathrm{m} / \mathrm{s}^{2} .$ (a) After having stopped at the 15 th floor, the passenger pushes the 8 th floor button; the elevator is beginning to move downward. (b) The elevator is moving downward and is slowing down as it nears the 8 th floor.
A young South African girl has a mass of \(40.0 \mathrm{kg}.\) (a) What is her weight in newtons? (b) If she came to the United States, what would her weight be in pounds as measured on an American scale? Assume \(g=9.80 \mathrm{N} / \mathrm{kg}\) in both locations.
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