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sponsoredwalk
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Hi I have a few questions on kinetic and potential energy, slightly mundane lol but still interesting.
So technically, if i am carrying a bucket of water from upstairs to downstairs the water within the bucket heats up, even if ever so slightly. Is this true?
Also, if we are all on the surface of the Earth we are all actually carrying potential energy as we are constantly "pulled" by gravity towards the center of the earth? True or not?
Finally, could you explain the integral within the equation of "work" in a horizontal direction, as in a box being pushed along the ground. The way i understand it to be is as follows (please let - (S) stand for the integral summa within this, and the way i am writing it is the way that what I am studying laid out, in successive parts)
My question about the equation is, (i'm new to integrals so i wonder), where the (*) indicator is, why did it change from dv/dx x, to dx/dt dv?
Where the (**) is, the (S) summa, does it move from each symbol successively, as in it had integrated the m (which is constant right) and moved on to the vdv.
And to finish, how did 1/2v^2 come about, I've looked on the net and can't seem to understand, everywhere i check just shows it as if it is obvious.
Amabo Te :):):)
So technically, if i am carrying a bucket of water from upstairs to downstairs the water within the bucket heats up, even if ever so slightly. Is this true?
Also, if we are all on the surface of the Earth we are all actually carrying potential energy as we are constantly "pulled" by gravity towards the center of the earth? True or not?
Finally, could you explain the integral within the equation of "work" in a horizontal direction, as in a box being pushed along the ground. The way i understand it to be is as follows (please let - (S) stand for the integral summa within this, and the way i am writing it is the way that what I am studying laid out, in successive parts)
W=(S)Fdx
W=(S)madx
W= (S) m dv/dx x {or)
W= (S) m dx/dt dv (*)
W=(S)mvdv now the integral goes from 0 to 1
W=(0S1)mvdv
W=m(0S1)vdv (**)
W=m1/2v^2
W=1/2mv^2
My question about the equation is, (i'm new to integrals so i wonder), where the (*) indicator is, why did it change from dv/dx x, to dx/dt dv?
Where the (**) is, the (S) summa, does it move from each symbol successively, as in it had integrated the m (which is constant right) and moved on to the vdv.
And to finish, how did 1/2v^2 come about, I've looked on the net and can't seem to understand, everywhere i check just shows it as if it is obvious.
Amabo Te :):):)