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x3lifelove
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A force of 640 N does 12 500 J of work over a displacement of 24.0m. What is the angle between the displacement and force? I get a answer of 87.9 degrees.
Angle between Displacement and Force: 87.9 Degrees | Work and Energy Calculation
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SUMMARY
The discussion centers on calculating the angle between displacement and force in a work-energy scenario. A force of 640 N performs 12,500 J of work over a displacement of 24.0 m, leading to an initial calculation of 87.9 degrees. However, using the work formula W = (Force)(displacement) and solving for the angle yields a corrected angle of 35.5 degrees. The participants clarify the relationship between work, force, and displacement to arrive at the accurate angle.
PREREQUISITES- Understanding of the work-energy principle
- Familiarity with trigonometric functions, specifically cosine
- Knowledge of basic physics formulas related to force and displacement
- Ability to manipulate equations to solve for unknown variables
- Study the work-energy theorem in detail
- Learn how to apply trigonometric identities in physics problems
- Explore the implications of angles in vector calculations
- Investigate the relationship between force, work, and energy in various contexts
Students of physics, educators teaching mechanics, and anyone interested in understanding the relationship between force, displacement, and work calculations.