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

AI Thread Summary
To calculate the work done by friction on a 40kg crate being pulled at a constant speed with a 150 N tension rope at a 30° angle, it's essential to analyze the forces acting on the crate. The constant speed indicates that the net force is zero, meaning the frictional force equals the horizontal component of the tension. The vertical component of the tension affects the normal force, which in turn influences the frictional force. By determining these forces and using the distance moved, the work done by friction can be calculated. Understanding the balance of forces is crucial for solving this problem effectively.
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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