View Full Version : free fall and gravity
rajeshmarndi
Sep12-11, 02:34 AM
does a person feel weightlessness or any differences when he make a free fall under gravity of different values say 10m/s^2 or 25 m/s^2.
Also it is said a person float in empty space is similar to a free fall. Free fall means it speed accelerates, then it would reach an infinite speed if it remain in free fall.
rajeshmarndi
Sep12-11, 02:49 AM
also can a person tell the differences if he is dropped in a free fall of 10 m/s^2 and 25 m/s^2 with his eye blind folded and can he tell that he is falling. I understand its the air resistance that gives him the drag, so assuming no air, only gravity.
Free fall means it speed accelerates,
No. Free fall means zero proper acceleration (you feel weightless). This is a frame independent (absolute) measure and has nothing to do with speed or coordinate acceleration which depend on the reference frame.
does a person feel weightlessness or any differences when he make a free fall under gravity of different values say 10m/s^2 or 25 m/s^2.
person feels weightlessness...that is what FREEFALL is...zero acceleration locally as AT posted....but to a distant observer it would appear the individual IS accelerating....which would be a coordinate acceleration.
ghwellsjr
Sep12-11, 09:31 AM
does a person feel weightlessness or any differences when he make a free fall under gravity of different values say 10m/s^2 or 25 m/s^2.
Also it is said a person float in empty space is similar to a free fall. Free fall means it speed accelerates, then it would reach an infinite speed if it remain in free fall.
Floating in space is identical to free fall, no matter what gravitational body is nearby that is giving you a coordinate acceleration, but it cannot increase your coordinate speed to infinity because you will either impact that gravitational body, or go into an elliptical orbit around it where your coordinate speed, acceleration, and direction or constantly changing, but if you are blind folded, you will feel like you are just floating stationary in space.
bahamagreen
Sep12-11, 06:08 PM
I don't think floating in space is identical to free fall.
In floating, none of the constituent parts of the body are feeling a net tug in any direction (except self gravitation).
In free fall the constituent parts are feeling different amounts of tug because the external gravitational field has a gradient.
Floating in space, a non-spinning sphere of point masses would decrease radius while maintaining a spherical shape.
In free fall the same sphere would take on an egg shaped surface as it shrunk (with the pointy end of the egg pointing toward the gravitational source).
ghwellsjr
Sep12-11, 06:27 PM
I don't think floating in space is identical to free fall.
In floating, none of the constituent parts of the body are feeling a net tug in any direction (except self gravitation).
In free fall the constituent parts are feeling different amounts of tug because the external gravitational field has a gradient.
Floating in space, a non-spinning sphere of point masses would decrease radius while maintaining a spherical shape.
In free fall the same sphere would take on an egg shaped surface as it shrunk (with the pointy end of the egg pointing toward the gravitational source).
Do you think this is something that a person would feel?
bahamagreen
Sep12-11, 09:09 PM
Not unless the gradient was quite strong. Neutron star, black hole... I've seen the word "spaghettification" used to describe the extreme effect, which a person would feel before being pulled apart...
DaleSpam
Sep12-11, 09:12 PM
I don't think floating in space is identical to free fall.
In floating, none of the constituent parts of the body are feeling a net tug in any direction (except self gravitation).
In free fall the constituent parts are feeling different amounts of tug because the external gravitational field has a gradient.This is correct, what you describe is called tidal forces. The equivalence principle equates freefall to a uniform gravitational field. Real gravitational fields are non-uniform, so there are tidal forces.
In GR, tidal effects are caused by the curvature of spacetime. For any curved manifold, if you take a small enough piece of the manifold it is approximately flat (to first order). Equivalently, for any real gravitational field if you take a small enough region of spacetime there is no difference between free fall and floating (to first order).
Real gravitational fields are non-uniform
Unless you build a uniform density sphere with a non-concentric spherical cavity.
DaleSpam
Sep13-11, 07:26 AM
Unless you build a uniform density sphere with a non-concentric spherical cavity.OK, I should have said real gravitational fields are typically non-uniform.
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