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Mathematics 28 Online
OpenStudy (anonymous):

Dan and Louis both weighed 90 lbs. Both climbed a hill which rose 60 feet. It took Dan 10 minutes and Louis 4 minutes. How much work did Dan and Louis do? Dan: 540 foot-pounds, Louis: 1200 foot-pounds Dan: 5400 foot-pounds, Louis: 5400 foot-pounds Dan: 900 foot-pounds, Louis: 360 foot-pounds

OpenStudy (anonymous):

any ideas

OpenStudy (aravindg):

work done =Force X displacement

OpenStudy (anonymous):

okey i think that it is the last answer

OpenStudy (aravindg):

or better said dot product of force and displacement

OpenStudy (aravindg):

well I dont think we need to use the time given because time comes to account only when we talk about power .For work done what we need to look at is force acting and how much displacement acting

OpenStudy (aravindg):

*displacement moved

OpenStudy (anonymous):

okey

OpenStudy (aravindg):

now weight is actually force exerted to our body due to gravity and equals mg

OpenStudy (aravindg):

both have same weight so equal "force "acts for both Dan and Louis

OpenStudy (anonymous):

and do the same work but one does it in less time than the other one

OpenStudy (aravindg):

yep so I bet the work done is same for both but power or "rate of doing work " is different for both of them

OpenStudy (aravindg):

The only option that agrees to our conclusion is B . So I think that would be the answer

OpenStudy (anonymous):

okey but what ever his name is did it faster than the other one

OpenStudy (aravindg):

yep less time then more power

OpenStudy (anonymous):

yeah so the answer is still b

OpenStudy (anonymous):

??????????????

OpenStudy (aravindg):

yep because we are only concerned with work done not power

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