  A skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 16° 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 690 J of work on the skier as the skier moves a distance of 9.0 m up the incline. (a) If the rope moved with a constant speed of 2.5 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 9.0 m up the incline? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 1.0 m/s and (c) 2.5 m/s?

Question

A skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 16° 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 690 J of work on the skier as the skier moves a distance of 9.0 m up the incline. (a) If the rope moved with a constant speed of 2.5 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 9.0 m up the incline? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 1.0 m/s and (c) 2.5 m/s?

Step 1

(a). The rope is moving with constant speed, so the change in kinetic energy is zero.

Hence, the work done by the force of the rope on the skier is

Step 2

(b). The rate of work at v=1m/s, th...

Want to see the full answer?

See Solution

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Work,Power and Energy 