How Do You Calculate Total Work Done in This Physics Problem?

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SUMMARY

The total work done in the physics problem involving a 35-kg trunk dragged up a ramp and then horizontally is calculated to be 2114 J. The process involves analyzing two distinct scenarios: the ramp and the horizontal drag. By drawing force diagrams for each scenario and applying the principles of force balance and superposition, one can determine the net force and subsequently the work done. Alternatively, using vector sums and Pythagorean theorem simplifies the calculations.

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  • Understanding of Newton's laws of motion
  • Familiarity with force diagrams and vector analysis
  • Knowledge of work-energy principles
  • Basic proficiency in trigonometry
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There is a work question which I am having difficulty getting.

A 35-kg trunks is dragged 10 m up a ramp inclined at an angle of 12 degrees to the horizontal by a force of 90 N applied at an angle of 20 degrees to the ramp. At the top of the ramp, the trunk is dragged horizontally another 15 m by the same force. Find the total work done. .. Answer = 2114 J
 
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Its basically two problems in one. Draw two force diagrams, one for the ramp, and one for the horizontal drag. Balance the forces in each and then use superposition to find net force in each case. Then find the work done in each case and sum them.
 
or you could get USE vector sums which i believe is easier, and then u can work it out using pythagoras theorem.

AEK
 

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