How much work is done on the car by the rope

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SUMMARY

The discussion focuses on calculating the work done on a car by a rope during a displacement of 300 meters, with the rope making a 15-degree angle with the car's direction of motion. The tension in the rope is specified as 180 N. Using the formula W = F * s * cos(φ), the calculated work is approximately 52,160 J. The result was confirmed by a participant, indicating the calculation is accurate.

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Homework Statement



A truck with a horizontal tow rope pulls a car. The car skis off to the side, so the rope makes an angle of 15.0degrees with the car's direction of motion, and then continues in a straight line. The tension in the rope is 180 N.

How much work is done on the car by the rope during a displacement of 300 m?

Homework Equations



W = F*s
W = Fscos [tex]\phi[/tex]

The Attempt at a Solution



W = 180(300)cos15
W = 52159.99

seems to large O_o
 
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