So it's only an apparent zero velocity with respect to the surface?So do you understand why the apparent zero-velocity you have, when you stand still, is really due to the surface and both are accelerating
Dywyddyr said:So it's only an apparent zero velocity with respect to the surface?
And which way is the surface accelerating?
So the relative velocity is ZERO.Yes of course when you are at the same velocity as the planet, the planet isn't moving away from you, or towards you, because you're stuck to it.
Which has what to do with accelerating or not?No, when you have zero velocity with respect to the surface, you weigh something don't you?
How do you conflate having zero velocity with there being gravity? The "why" is misplaced.Why, when you have zero relative velocity, is there a force called gravity that "weighs" you, (you know, "down" as we say)?
And?Dywyddr: you keep forgetting that when you aren't moving with respect to the surface, you weigh the same as when you are moving.
The ground is pushing you up at the same time gravity is pulling you down. The net force is nearly zero. There is a residual downward force, just enough to make you rotate with the Earth. That is easily calculable. For someone at the equator, it is $$6378.137\,\text{km} * (2\pi/\text{sidereal day} )^2$$, or 3.39 centimeters/second[sup]2[/sup], or about 1/290 g. This decreases with latitude and becomes zero at the poles.No, when you have zero velocity with respect to the surface, you weigh something don't you?
Why, when you have zero relative velocity, is there a force called gravity that "weighs" you, (you know, "down" as we say)?
Well that one is especially annoying.8 - Shouldn't of
What?Conclusion: the density of matter is an induced 'property of gravity'
You cannot use any local experiment such as a mass attached to a spring to distinguish whether you are in orbit around a large mass or traveling freely through space. Similarly, you cannot use such a local experiment to distinguish between being at rest on the surface of a planet versus being in an spacecraft that is accelerating in empty space. Einstein's thought experiment on this matter formed the basis of the equivalence principle. You have it 100% wrong. Try again.Newton is elegant because you can easily use the local frame, various weights and springs and derive a value for G, which is independent of weights and springs. Now you know that, anywhere you are in space, a mass attached to a spring will accelerate and the spring will deform.
You can use this knowledge to tell if you're in orbit around a large mass, or traveling freely through space (inside a windowless space station or a capsule, or in an elevator).
As I pointed out, when you hang from a spring you are subject to the force of the spring and the force of gravity; when these balance (the spring stops stretching) mg = -kx.as DH pointed out you are also subject to another force (from the ground upwards). No acceleration because there's no movement.
Yes you can. Because in an orbit you don't travel with constant velocity.DH said:You cannot use any local experiment such as a mass attached to a spring to distinguish whether you are in orbit around a large mass or traveling freely through space.
I didn't say you can use springs and different masses to tell that. I said you can use springs and weights to tell if you are in orbit or traveling freely. And, you can.Similarly, you cannot use such a local experiment to distinguish between being at rest on the surface of a planet versus being in an spacecraft that is accelerating in empty space.
Einstein's thought experiment on this matter formed the basis of the equivalence principle. You have it 100% wrong. Try again.
And when the forces balance there's no movement: no acceleration.As I pointed out, when you hang from a spring you are subject to the force of the spring and the force of gravity; when these balance (the spring stops stretching) mg = -kx.