Work Energy Power: Where Does the Energy Come From?

AI Thread Summary
When pushing a bicycle up an incline, the potential energy of both the bicycle and the rider increases. This energy is derived from the muscular energy exerted by the rider. The increase in potential energy is a result of the rider's weight multiplied by the height gained during the ascent. The discussion emphasizes the relationship between physical effort and energy transformation in this context. Understanding this energy transfer is crucial for analyzing work, energy, and power dynamics in physics.
SAUMYA B
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when you push your bicycle up on an incline the potential energy of the bicycle and yourself increases. Where does this energy come from?
 
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Since your position is changing, you are gaining potential energy and as you are pushing the bicycle, the potential energy comes from yours muscles, I mean -muscular energy
 
SAUMYA B said:
when you push your bicycle up on an incline the potential energy of the bicycle and yourself increases. Where does this energy come from?
Where do you think?
 
SAUMYA B said:
when you push your bicycle up on an incline the potential energy of the bicycle and yourself increases. Where does this energy come from?

A product of your weight(mg) and your height (h)?
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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