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A 78.0 kg snowboarder heads down a 15.0° hill that has a height of 40.5 m. If th

ID: 1782971 • Letter: A

Question

A 78.0 kg snowboarder heads down a 15.0° hill that has a height of 40.5 m. If the hill is assumed to be frictionless and there is horizontal wind with a force of 170. N acting against the snowboarder, find the speed of the snowboarder as they reach the bottom of the hill using work and energy.

Question 1 A 78.0 kg snowboarder heads down a 15.0° hill that has a height of 40.5 m. If the hill is assumed to be frictionless and there is horizontal wind with a force of 170. N acting against the snowboarder, find the speed of the snowboarder as they reach the bottom of the hill using work and energy 247m/s

Explanation / Answer

From Work energy theorem

mgh =(1/2)mV2+Fd

78*9.81*40.5=(1/2)*78*V2+170*(40.5/sin15)

4388.2=39V2

V=10.6 m/s

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