How Is Work Done by Friction Calculated for a Crate Pulled at a Constant Speed?

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SUMMARY

The work done by friction on a 40 kg packing crate being pulled at a constant speed with a rope tension of 150 N at a 30° angle can be calculated using the principles of energy and force analysis. Since the crate moves at a constant speed, the net force acting on it is zero, indicating that the frictional force equals the horizontal component of the tension. The horizontal component of the tension can be determined using trigonometric functions, specifically T*cos(30°). The work done by friction over a distance of 6 m is then calculated as the product of the frictional force and the distance.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of trigonometry (specifically sine and cosine functions)
  • Familiarity with the concept of work and energy in physics
  • Ability to draw and interpret free-body diagrams (F-B-D)
NEXT STEPS
  • Study the relationship between tension and friction in physics problems
  • Learn how to resolve forces into components using trigonometric functions
  • Explore the concept of work done by friction in various scenarios
  • Review examples of constant speed motion and the implications for net force
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of force and motion concepts.

JSmith2009
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Homework Statement

A rope that is 30° to the horizontal has a tension of 150 N. It is used to pull a 40kg packing crate on a rough sruface through a distance of 6 m. If the crate moves at a constant speed, find the work done by friction.



Homework Equations



Energy formulas, not kinematic.


The Attempt at a Solution



I'm at a loss for what step to take after drawing my F-B-D. I've got it set up, but just brain-farting what next. I've thought over this problem, and I know it's a very simple one, but I just can't comprehend it or something.
 
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