Weight=mg and if g is the acceleration due to gravity

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Weight is defined as the force exerted by gravity on an object, expressed as weight = mg, where g is the acceleration due to gravity. When standing still, the normal force from the ground counteracts gravitational force, resulting in no net acceleration. This balance means that while the Earth exerts a downward force on you, the ground provides an equal upward force, keeping you stationary. In free-fall, however, there is no normal force, leading to the sensation of weightlessness, as described by Newton's laws. Understanding these forces clarifies why we feel weight when stationary and not during free-fall.
cragar
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this is probably a really dumb question but I just have to ask it when I am standing
on the ground my weight=mg and if g is the acceleration due to gravity .
but how am I accelerating I am not moving and my velocity is not changing , and how am I applying a force on Earth .
 
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Ordinarily you are not accelerating, because the floor is pushing back at you with precisely the same force. This is called the normal force. When there is no such thing as a floor (for example, you are jumping from an airplane or your elevator cables break) then the acceleration of the Earth produces the only force acting on you (except for things like friction) and you will accelerate (when jumping from an airplane, that's the whole point; when inside an elevator whose cables just broke it's a less pleasant effect).
 


ok I see , when we feel a force on our body if we feel , I guess what i am asking is will we always feel a force . didn't Einstein say that when we are in free-fall we can't feel our own weight .
 


You don't need Einstein for that, it worked this way since Newton.
 


cragar said:
this is probably a really dumb question but I just have to ask it when I am standing
on the ground my weight=mg and if g is the acceleration due to gravity .
but how am I accelerating I am not moving and my velocity is not changing , and how am I applying a force on Earth .

the Earth is trying to accelerate you towards the Earth but at same time surface of Earth obstructs ,by Newtons third law,the surface gives tou a force (R)
such that
mg-R=0, so you don't move
mg=R the weigth is measurement of R
 
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