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Consider a tug-of-war between two people who pull in

Chapter 7, Problem 33DQ

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QUESTION:

Consider a tug-of-war between two people who pull in opposite directions on the ends of a rope. By Newton’s third law, the force that A exerts on B is just as great as the force that B exerts on A. So what determines who wins? (?Hint:? Draw a free-body diagram showing all the forces that act on each person.)

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QUESTION:

Consider a tug-of-war between two people who pull in opposite directions on the ends of a rope. By Newton’s third law, the force that A exerts on B is just as great as the force that B exerts on A. So what determines who wins? (?Hint:? Draw a free-body diagram showing all the forces that act on each person.)

ANSWER:

Solution to 33DQ Step 1 According to Newton’s third law of motion, ‘every body exerts equal and opposite force on each other’. If body A is pushing a force F_a on B then the body B will also exert a force F_b equal to F_a on body A. However here, the two bodies are connected with an inextensible rope. If the two bodies exerts equal and opposite forces on the rope, then the centre of the rope will be in equilibrium.

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