As a snowboarder descends a mountain slope, gravity, the normal force, and friction combine to exert a net force of 320 N in the downhill direction. The net force does 4700 J of work on her during one segment of her descent. If her path cuts across the face of the mountain at a 65 degree angle from the direction of the net force, over what distance does she travel.

Question

Physics

Alicia Ayala

31 July, 01:23

As a snowboarder descends a mountain slope, gravity, the normal force, and friction combine to exert a net force of 320 N in the downhill direction. The net force does 4700 J of work on her during one segment of her descent. If her path cuts across the face of the mountain at a 65 degree angle from the direction of the net force, over what distance does she travel.

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Answers (1)

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Karsyn Little · Answer 1

34.75m

Explanation:

Parameters given:

Net force, F = 320N

Work done by net force, W = 4700 N

Angle, θ = 65º

Work done at an angle is given as:

W = F * d * cosθ

Where d = distance travelled

θ is the angle between the force and the direction of motion.

Therefore,

4700 = 320 * d * cos65

=> d = 4700 / (320 * cos65)

d = 34.75 m