Girl Climbing Rope: Avg Speed & Work Calculated

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To match the power output of a 200-W lightbulb, the average speed of a 55.0 kg student climbing a 4.00 m rope can be calculated using the power formula P = W/time. The work done by the student can be determined using the gravitational potential energy equation, which is W = mgh, where m is mass, g is acceleration due to gravity, and h is height. The discussion emphasizes the importance of identifying relevant equations for solving the problem. Participants encourage sharing thoughts on applicable equations rather than just presenting the question. Engaging with the forum can lead to a better understanding of the concepts involved.
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Homework Statement



A 55.0 kg student climbs a 4.00 m long rope and stops at the top.
(a) What must her average speed be in order to match the power output of a 200-W lightbulb?
(M/S)

(b) How much work does she do?
(J)


Homework Equations



Well if i had to guess...they might be

P=W/time total

1/2Mvf^2-1/2mvi^2


The Attempt at a Solution

 
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It's OK to be unsure of the relevant equations but not OK when you only give the question. The forum is here to help you, not to do your homework for you.

So don't be shy; which equations do you even half-suspect may be relevant?
 
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