How Much Power Does a Man Generate Running Up Stairs Compared to a Light Bulb?

AI Thread Summary
A 75 kg man runs up a 4.5 m flight of stairs in 4 seconds, generating power that can be calculated using the work done against gravity. The work done is approximately 3310.8 joules, and power can be determined by dividing this work by the time taken. To find out how long a 100-watt light bulb would need to burn to expend the same amount of energy, one would calculate the total energy used by the bulb in relation to the work done. The discussion emphasizes understanding the relationship between work, energy, and power in this context. The calculations and concepts of work and power are critical for solving the problem accurately.
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Homework Statement



the man having the weight of 75kg is able to run up a 4.5 m high flight of stairs in 4s. determine the power generated. how long would a 100w light bulb have to burn to expend the same amount of energy?

Homework Equations





The Attempt at a Solution


I havnt done these types of questions for a while so I've forgotten, so far I've calculated the work done by weight -75*9.81 (4.50) = -3310.8
can anyone help me solve the rest pleasE?
thanks
 
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Power = rate of doing work
 
yea but i don't know how to do it
 
How much work is done in 4 seconds?
 
power=f.v but i don't know how to get the v and f?
 
As you know how much work was done in 4 secs, then divide by 4 secs and you have power!

Also, don't forget work = energy
 
Ok thanks
 

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