How Long Should the Inclined Plane Be for a 100 kg Box?

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SUMMARY

The discussion centers on calculating the length of an inclined plane required to raise a 100 kg box to a height of 5 m using a force of 250 N. The key equation derived is based on the relationship between force, weight, height, and length of the incline, expressed as Fp = w(h/l). The final calculations indicate that the length of the incline should be approximately 19.57 m when considering the angle of inclination, which is determined to be 14.77°. The participants emphasize the importance of understanding the forces acting on the box and the role of trigonometric functions in solving the problem.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of trigonometry, specifically sine and cosine functions
  • Familiarity with the concepts of force, weight, and potential energy
  • Ability to manipulate algebraic equations
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  • Learn how to derive the equations of motion for objects on inclined planes
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of inclined plane problems.

  • #31
ps work down the sheet from the top, confirm the max allowable incline angle, then input the incline angle (A)
 
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  • #32
Thats awesome! Thanks a lot..
 

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