How much work is done on the car by the rope

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The problem involves calculating the work done on a car by a tow rope at an angle of 15 degrees during a displacement of 300 meters, with a tension of 180 N in the rope. The work formula used is W = F * s * cos(φ), leading to the calculation W = 180 * 300 * cos(15). The resulting work done is approximately 52160 J, which some participants initially thought seemed too large. The calculation was confirmed as correct by another participant, indicating agreement on the solution.
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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 \phi

The Attempt at a Solution



W = 180(300)cos15
W = 52159.99

seems to large O_o
 
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