Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
ghazi
Group Title
can anyone give me or show me how to prove
weight= mass* gravity? please
 2 years ago
 2 years ago
ghazi Group Title
can anyone give me or show me how to prove weight= mass* gravity? please
 2 years ago
 2 years ago

This Question is Closed

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

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

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

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

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

ghazi Group TitleBest ResponseYou've already chosen the best response.0
agreed, but i'll get you that soon
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.