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ghazi
Group Title
can anyone give me or show me how to prove
weight= mass* gravity? please
 one year ago
 one year ago
ghazi Group Title
can anyone give me or show me how to prove weight= mass* gravity? please
 one year ago
 one year ago

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ghazi Group TitleBest ResponseYou've already chosen the best response.0
@experimentX
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
are you trying to prove f=ma?
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
i am thinking and striving to prove weight = mass*gravity? how, i was pondering over it
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
this comes from definition ... weight = gravitational force. weight = GmM/R^2 = m GM/R^2 = mg
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
this is my question how weight = gravitational force* mass (not weight @experimentX :) )
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
and i heard that there is a long proof of it i am looking for that
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
weight = gravitation force = m g  well i guess there is since there is lot's of confusion around mass since the definition of mass keeps going round and round around force and inertia. I haven't understood it correctly.
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
probably to clear out this circular logic of mass. but weight = mg ... this comes from newton's second law.
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
weight= mass* acceleration due to gravity  probably you made mistake here ... gravity would mean different thing.
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
@experiment i need mathematical explanation of this definition how weight = mass*gravity?
 one year ago

Carl_Pham Group TitleBest ResponseYou've already chosen the best response.0
There is no mathematical derivation. That the force exerted by gravity on an object is proportional to its mass is a hypothesis of Newtonian gravitation, confirmed by experiment. It's an observation, not a deduction.
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
@carl_pham everything in this universe has a mathematical explanation and i strongly believe it has some mathematical explanation and it is in the book principia mathematica by newton , albeit i tried hard to understand that but unfortunately i couldn't and once again i must say there is a derivation of this but unfortunately i am unable to find it.
 one year ago

ivanmlerner Group TitleBest ResponseYou've already chosen the best response.0
I was writing it for 10 minutes and the page reloaded
 one year ago

ivanmlerner Group TitleBest ResponseYou've already chosen the best response.0
The thing is, \[F=ma=mGMr^{2}\]if we notice that we are considering the weight only for objects very close to the surface of the earth, we see that GMr^2=g and even though this radius usually change, we can consider it as constant and equal to the radius of the earth, therefore getting the acceleration g. A more formal explanation involves the same concept, we take a taylor expansion around the radius of the earth of the function GMr^2=g(r) and consider only the first term since we r and the radius of the earth are very close. This provides a more clear view of whats going but is really unnecessary. It is not useful to continue the taylor expansion to include greater heights because the function F is really simple.
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
@ivanmlerner your explanation seems precised . thanks
 one year ago

Carl_Pham Group TitleBest ResponseYou've already chosen the best response.0
@ghazi, and interesting faith, but unfortunately you are wrong. Anything derived purely from empirical observation has no mathematical derivation at all. It just is. Obvious examples include the value of the fine structure constant, as well as many other important constants, why the nuclear forces have a finite range, and the Second Law of thermodynamics (the one that says the entropy of the universe is always increasing). Not one of these things has a mathematical, or indeed any explanation. They are simply observable facts that characterize this universe.
 one year ago

ghazi Group TitleBest ResponseYou've already chosen the best response.0
agreed, but i'll get you that soon
 one year ago
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