What's Wrong in the Boy's Reasoning from Newton's 3rd Law?

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Homework Help Overview

The discussion revolves around a reasoning error related to Newton's Third Law in the context of a boy attempting to mow the lawn with a push mower. The original poster presents a scenario where the boy believes that the mower will not move because it pushes back with equal force to his push.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of Newton's Third Law, questioning the boy's reasoning about force pairs and the role of friction in the motion of the mower.

Discussion Status

Some participants suggest that the boy's misunderstanding lies in the nature of action-reaction pairs, while others emphasize the importance of friction in maintaining motion. There is a focus on clarifying how forces act on different objects and the implications for acceleration.

Contextual Notes

Participants are considering the assumptions made about friction and the conditions under which the mower operates, as well as the definitions of action and reaction forces in the context of different bodies.

Meteo
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Your younger brother is supposed to mow the lawn using a push mower. He reasons from the Newton's Third Law that the mower will push back with the same force he exerts on the mower; therefore nothing will move and attempting to mow the lawn is pointless. What is wrong with his reasoning?

a: The boy has not enough push force on the mower
b: the boy forgot friction force
c: From the 3rd law, no force on mower, but mower has initial speed therefore the mower can keep moving
d: The boy exerts a force on the mower, but the reaction force is exerted by the mower on the boy. The two forces are acting on different objects, and thus cannot cancel.

The answer is D but I need to know why. From what I understand, two forces acting on different objects DO constitute a 3rd law pair. The boy on the mower and the mower on the boy. The thing that's propelling them forward is the force of the surface on the boy as he pushes back on the surface. The static friction force. From my reasoning the answer should be B...
I appreciate your help.
 
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D is a much more direct answer to the question. By answering (b) you are stating that the forces do cancel, which they dont.
 
You have to push to keep the mower going at constant speed only because there is friction. If there were no friction and you pushed the mower, the mower would push back on you (you feel the push in your hands) and the mower accelerates. D is the only correct answer.
 
The force the mower exerts on the person has no bearing on the acceleration of the mower - only on the acceleration of the person. The two forces in this question are acting on two different bodies, so cannot possibly cancel.
 

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