Several children are on a sled pulled by a four-wheeler across a level snow-cove

Question

Several children are on a sled pulled by a four-wheeler across a level snow-covered field. The sled is moving at a constant speed of 9.00 m/s, and the tow rope (parallel to the ground) makes an angle of 35.0? with respect to the velocity of the sled (see the figure below). If the tension in the rope is 47.0 N, determine the work done on the sled, in Joules, by the tension in the rope in 12.0 s.

Several children are on a sled pulled by a four-wheeler across a level snow-covered field. The sled is moving at a constant speed of 9.00 m/s, and the tow rope (parallel to the ground) makes an angle of 35.0½ with respect to the velocity of the sled (see the figure below). If the tension in the rope is 47.0 N, determine the work done on the sled, in Joules, by the tension in the rope in 12.0 s.

Explanation / Answer

Note that

W = Fdcos(t)

where

F = the acting force (47.0 N)
d = the displacement
t = the angle between F and d (35.0 degrees)

Here,we can find d using

d = vt

Here, v = 9.00 m/s, t = 12.0 s. Thus,

d = 9.00 m/s * 12.0 s

d = 108 m

Thus,

W = Fdcos(t)

W = (47.0 N)(108 m)cos(35.0)

W = 4160 J [ANSWER]

DONE! It was nice working with you!

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