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Newton鈥檚 third law of motion tells us that forces always occur in pairs of equal and opposite magnitude. Explain how the choice of the 鈥渟ystem of interest鈥 affects whether one such pair of forces cancels.

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01

Concept of Newton’s third law of motion

Newton鈥檚 Third Law of Motion states that whenever a body exerts a force on another body, the first body experiences a force that is equal in magnitude and opposite in direction to the force that it exerts.

02

Explanation for choice of “system of interest”

Take the example of a swimmer pushing off from the side of a pool when the swimmer pushes against the pool wall with her feet and accelerates in the direction opposite to the push because the wall has exerted an equal and opposite force back to the swimmer. But the two forces balance each other because they act on different systems.

Take the swimmer as the 鈥渟ystem of interest鈥, then external force acts on the system, which is exerted by the wall on the feet, thereby affecting its motion. The swimmer moves in the direction of the force exerted by the wall on the feet. But the force exerted by the feet on the wall acts on the wall but not on the 鈥渟ystem of interest鈥.

Hence, the force exerted by the feet on the wall does not directly affect the motion of the system and does not cancel the force exerted by the wall on the feet.

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Most popular questions from this chapter

(a) If the rocket sled shown in Figure 4.32 starts with only one rocket burning, what is the magnitude of its acceleration? Assume that the mass of the system is 2100 kg, the thrust T is 2.4脳104 N, and the force of friction opposing the motion is known to be 650 N.

(b) Why is the acceleration not one-fourth of what it is with all rockets burning?

The rocket sled shown in Figure 4.33 accelerates at a rate of 49.0 m/s2. Its passenger has a mass of 75.0 kg.

(a) Calculate the horizontal component of the force the seat exerts against his body. Compare this with his weight by using a ratio.

(b) Calculate the direction and magnitude of the total force the seat exerts against his body.

Why does an ordinary rifle recoil (kick backward) when fired? The barrel of a recoilless rifle is open at both ends. Describe how Newton鈥檚 third law applies when one is fired. Can you safely stand close behind one when it is fired?

Figure 4.39 shows Superhero and Trusty Sidekick hanging motionless from a rope. Superhero鈥檚 mass is 90.0 kg, while Trusty Sidekick鈥檚 is 55.0 kg, and the mass of the rope is negligible.

(a) Draw a free-body diagram of the situation showing all forces acting on Superhero, Trusty Sidekick, and the rope.

(b) Find the tension in the rope above Superhero.

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