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A Bike rider traveled on his bike uphill at 20 miles per hour for two hours. To sustain...

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pensivegal | (Level 1) Honors

Posted September 26, 2013 at 3:33 PM via web

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A Bike rider traveled on his bike uphill at 20 miles per hour for two hours. To sustain this constant speed the cyclist was exerting 50 lbs. How much work has the rider done during the trip?

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llltkl | College Teacher | (Level 3) Valedictorian

Posted September 26, 2013 at 4:25 PM (Answer #1)

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The cyclist travelled on his bike uphill at 20 miles per hour for two hours.

Hence his displacementis 20*2 =40 miles=(40*1609.34) m=64373.6 m

To sustain this constant speed the cyclist was exerting 50 lbs = (50*4.4482) N= 222.41 N

Therefore, the total work done by the rider during the trip, W=F*s=(222.41*64373.6) N-m

`=14317332` Joules

`~~1.432 * 10^7` Joules

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