Question #1 Question #2 A snowboarder of mass 90 kg slides down the trail shown

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Question #1

Question #2

A snowboarder of mass 90 kg slides down the trail shown in the figure below. The first part of the trail is a ramp that makes an angle of 18degree with the horizontal, and the final portion of the trail is flat. Find the work done by gravity on the snowboarder as she travels from the beginning to the end of this trail. For the figure use h = 46 m. A car is pushed along a long road that is straight, horizontal, and parallel to the x direction. The horizontal force on the car varies with x as shown in the figure. What is the work done on the car by this force? (Let a = 100 N.) What is the work done by gravity on the car?

Explanation / Answer

1) work done by gravity=mgh
    =90*9.81*46
    =406134 J
2)A)work done by force= area under the curve
    =0.5(xf-xi)(4a-a)
    =0.5(xf-xi) 300
    =150(xf-xi) joule

   =150*22
    =3300 joule
b)since gravitational force is perpendicular to directiob of x
     work done by gravity =0

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