Calculating distance given total work?

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The total work done is 2.42 * 10^4 J, with a pulling force of 135 N and a frictional force of 67 N at an angle of 48 degrees. The equation W = f * d * cos(θ) was applied, but the initial calculation was incorrect. The frictional force acts opposite to the direction of travel, indicating it does negative work. The correct distance calculated is 963 meters, highlighting the importance of accurately considering the direction of forces in work calculations. Understanding the effects of friction on work is crucial in solving such physics problems.
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Homework Statement


The total work done is 2.42 * 10^4 J (work is from friction and person pulling a sled). The force of the person pulling is 135 N and the force of friction is 67 N. The angle on the sled is 48.

Homework Equations



W=f*d*cos0

The Attempt at a Solution



I was thinking I would need to do the Wt=f*dcos0 + f*dcos0

24200=135*d*cos 48 + 67*d*cos 180

I did this, but the answer was incorrect. the answer is 963 m.[/B]
 
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heythere1010 said:

Homework Statement


The total work done is 2.42 * 10^4 J (work is from friction and person pulling a sled). The force of the person pulling is 135 N and the force of friction is 67 N. The angle on the sled is 48.

Homework Equations



W=f*d*cos0

The Attempt at a Solution



I was thinking I would need to do the Wt=f*dcos0 + f*dcos0

24200=135*d*cos 48 + 67*d*cos 180

I did this, but the answer was incorrect. the answer is 963 m.[/B]
Start by drawing a free body diagram.
 
SammyS said:
Start by drawing a free body diagram.
Yes, the question has given that.
 
heythere1010 said:
Yes, the question has given that.
In what direction is the frictional force, relative to the direction of travel?
 
SammyS said:
In what direction is the frictional force, relative to the direction of travel?
The force of friction is west and the traveling direction is east.
 
heythere1010 said:
The force of friction is west and the traveling direction is east.
Then, does friction do positive work, or does it do negative work ?
 
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