A skier pulled by a tow rope up a frictionless ski slope that makes an angle of

Question

A skier pulled by a tow rope up a frictionless ski slope that makes an angle of 12 degree with the horizontal. The rope moves parallel to the slope with a constant speed of 1.0 m/s. The force of the rope does 920 J of work on the skier as the skier moves a distance of 7.8 m up the incline. If the rope moved with a constant speed of 2.0 m/s, how mu Ch work would the force of the rope do on the skier as the skier moved a distance of 7.8 m up the incline? J At what rate is the force of the rope doing work on the skier when the rope moves with a speed of 1.0 m/s? W At what rate is the force of the rope doing work on the skier when the rope moves with a speed of 2.0 m/s? W

Explanation / Answer

a) it will be same , velocity don't afect work done.

920 J

b) 7.8m by 1m/s

so 7.8m in 7.8 sec

rate of work done = 920/ 7.8 = 117.5 J/s

c) 7.8 by 2 m/s

so 7.8m in 7.8/2 = 3.9 sec

rate of work done = 920/3.9 = 235.90 J /sec

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