3 gravitating bodies; find the work done by gravity.
What answer did you get for this question? And if you don't mind, can you pls share your method?
I'm getting ;
I integrated the force by the displacement; this results in this complicated integral:
That's 'cause I totally forgot about energy-work theorem lol
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Top NewestI just woke up.
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Very good! Btw I solved the problem using a really complicated integral lol. I integrated the force by the displacement along the path of the objects, and thereby got the final solution.
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@Krishna Karthik very nice.
The formula which I have used comes from your method only. . I just have used shortcut.
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Actually, this can be solved using process of elimination as well; firstly, we know that the work done must be negative, and for that there are only two options.
Secondly, we know that the M term of the gravitational force must be of order two (M2), therefore the only suitable option for the work must be (A).
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I just ran a numerical time-domain simulation and looked at the total kinetic energy at the end, assuming that no external force is trying to slow it down. And then the answer is just the negative of that, which turns out to be the first option (A).
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Thanks! Yes; turns out I did get the correct answer. Thanks for this beautiful solution :) Computers are always brilliant.
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@Krishna Karthik whenever he uses the variable of problem as constant.
Like in this problem he has used M=2.0 it made me laugh 😂
He is a very smart guy😎.
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M,G,L it will give you same thing. Programmers like to be efficient😎
yea lol; but literally any variable you plug into values ofLog in to reply
The way he chooses random values make me laugh.
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@Krishna Karthik Hii sir. Try this problem
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Will do it soon! :)
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@Krishna Karthik would you like to play chess now?
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@Krishna Karthik it is not work done by gravity. It is workdone by external agent..
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Which is gravity, basically.
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@Krishna Karthik it can be other different forces also.
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@Krishna Karthik yes it is possible. If the balls come up with their own interacting force then they all have some velocity.
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@Neeraj Anand Badgujar @NJ STAR Ah, just for your interest, here is the integral which I calculated to solve the problem:
∫032l(2l−32r)23gm2dr
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@NJ STAR @Steven Chase @Neeraj Anand Badgujar
Hey guys; I kinda need help with a problem (problem 41). I've posted it in a new note. If you can help me that would be awesome. Cheers!
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@Steven Chase @NJ STAR
I need help with a new problem I'm posting; it's an error in Matlab code (coded in python style so it's easy to understand for python users too). I've posted it in a new note.
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