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Apr 9, 2018 Name Third Test, Page 2 of 6 1. As a snowboarder descends a mountain

ID: 2038037 • Letter: A

Question

Apr 9, 2018 Name Third Test, Page 2 of 6 1. As a snowboarder descends a mountain slope, gravity, the normal force, and friction combine to exert a net force of 320N in the downhill direction. The net force does 47003 of work on her during one segment of her descent. Her path cuts across the face of the mountain at a 65.0 angle from the direction of the net force. (D) (10 points) Over what distance does she travel? (1) (10 points) By how much did her kinetic energy change during this segment? (III) (10 points) If her mass is 65.3kg and her speed at the begining of the segment was 8.00 m/s, what's her final speed after finishing the segment?

Explanation / Answer

Net force along the path=320*cos(65)

Work done=4700J

Distance travelled=4700/(320*cos(65))=34.8m

(ii)change in kinetic energy=net work done=4700J

(iii)let velocity is v

0.5*m*(v^2-8^2)=4700

We got

v=14.42m/s

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