Newtonian Dynamics: Mowing a Lawn

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Homework Help Overview

The problem involves a gardener mowing a level lawn using a push mower, with a focus on the forces acting on the mower and the resulting acceleration over a distance of 2.90 m from rest.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to resolve the applied force into its horizontal component to find acceleration. There is also a question about whether to consider the normal force in this context.

Discussion Status

Some participants have provided guidance on focusing on the applied force for calculating acceleration, while others have confirmed that the normal force is not relevant to the horizontal motion of the mower. The discussion appears to be progressing with clarifications being made.

Contextual Notes

Participants are working under the assumption of neglecting friction and are focused on the dynamics of the mower's motion. There is an emphasis on understanding the role of different forces in the context of the problem.

JennV
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Homework Statement



A gardener mows a level lawn with an old-fashioned push mower. The handle of the mower makes an angle of 39 degrees with the surface of the lawn. A 111 N force is applied along the handle of the 17.0 kg mower.

Neglecting friction, how long does it take for the mower to accelerate through 2.90 m from rest?

Homework Equations



x=volt+1/2at^2

The Attempt at a Solution



I have already found the Normal force to be 236.6245634N.
 
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take component of force in horizontal direction and find acceleration.(force - acceleration relation)
Use your relevant equation then.
 
The legend said:
take component of force in horizontal direction and find acceleration.(force - acceleration relation)
Use your relevant equation then.

Thank you so much for replying to me. But one more question, component of force in horizontal direction, as in the normal force or applied force?
 
Your are welcome:smile:

applied force... that's because its the force causing displacement.
 
yeah... and i forgot the normal reaction does not play any role in the horizontal displacement of the machine(in this case) so there's no need to calculate it.
 
I got the question correct and finished on time! Thank you once again! =D
 

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