Solving Work Done by Pushing a Lawnmower

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SUMMARY

The discussion focuses on calculating the work done by a man pushing a lawnmower with a force of 200N, where the vertical component of the force is 80N, over a horizontal distance of 6.0m. The key equation used is Work = Force x Distance. Participants emphasize the need to determine the angle of the applied force using trigonometric functions, specifically mentioning the use of inverse tangent to find the angle in degrees, not radians. The importance of sketching the scenario to visualize the problem is also highlighted.

PREREQUISITES
  • Understanding of basic physics concepts, particularly work and force.
  • Familiarity with trigonometric functions, specifically inverse tangent.
  • Ability to apply Pythagorean theorem in practical scenarios.
  • Knowledge of unit conversions between radians and degrees.
NEXT STEPS
  • Learn how to apply the Pythagorean theorem in physics problems.
  • Study trigonometric functions and their applications in force analysis.
  • Explore the concept of work in physics, including its formula and units.
  • Practice problems involving force components and work calculations.
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Students studying physics, particularly those tackling mechanics and force-related problems, as well as educators looking for practical examples of work calculations.

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Homework Statement


A man pushes a lawnmower with a force of 200N. If the vertical component of this force is 80N how much work is done in pushing the lawnmower 6.0m horizontally?

Homework Equations


Work=force x distance

The Attempt at a Solution


Firstly I have to find the angle to the ground at which the 200N force is directed.
However i am not sure on how to do that.
 
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Make a sketch and remember Pythagoras
 
BvU said:
Make a sketch and remember Pythagoras
Would the angle be 68 because inverse tan(200/80)
 
68 radians ? No, degrees I hope.
Never mind: once you have the angle, what are you going to use it for ?
And: Sketch ?
 

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