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A skier is pulled by towrope up friction...

A skier is pulled by towrope up frictionless ski slope that makes an angle of `12^(@)` 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 880 J of work on the skier as the skier moves a distance of 7.0 m up the incline. (a) If the rope moved with a constant speed of 2.0 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 8.0 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) 2.0 m/s ?

Text Solution

Verified by Experts

The correct Answer is:
(a) `8.8xx10^(2)` J, just as it was in the first case; (b) `1.3xx10^(2)W; (c) 2.5xx10^(2)W`
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Knowledge Check

  • A man pushes a 80 N crate a distance of 5.0 m upward along a frictionless slope that makes an angle of 30^@ with the horizontal. The force he exerts is parallel to the slope. If the speed of the crate increases at a rate of 1.5 then the work done by the man is :

    A
    `-200 J `
    B
    61 J
    C
    140 J
    D
    260 J

  • A 63-kg skier goes up a snow-convered hill that makes an angle of 25^(@) with the horizontal . The initial speed of the skier is 6.6 m/s. After coasting a distance of 1.9 m up the slope, the speed of the skier is 4.4 m/s. Find the work done by the kinetic frictional force that acts on the skis .

    A
    `-760`J
    B
    `+270`J
    C
    `+300`J
    D
    `-270`J

  • A skier leaves the top of a slope with an initial speed of 5.0 m/s. Her speed at the bottom of the slope is 13 m/s. What is the height of the slope ?

    A
    1.1m
    B
    4.6m
    C
    6.4m
    D
    7.3m

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