3 ms·
That's a confusing way to look at things. Lets make the two scenarios more similar. Say "earth" is a sphere with radius 1 meter and you're 1 meter away. And th
by light_hue_1 11y ago
That's a confusing way to look at things. Lets make the two scenarios more similar.
Say "earth" is a sphere with radius 1 meter and you're 1 meter away. And that puny magnet defeats its gravitational pull in the same way it defeats earth. How heavy would our sphere have to be in order to have the same pull as earth if it has a radius of 1 meter and our magnet is 1 meter away?
If you remember Newton's law of gravitation the force an object will feel looks like: F=Gm/r^2. G is small, 10^-11 Nm^2/kg^2, m is the mass of earth 10^24 kg, r is normally 10^6 m (the radius of the earth). Plug in these numbers you get 10 m/s^2. The real answer is closer to 9.8, but we're looking for the order of magnitude here. We're still remarkably close for how much rounding we did.
How lets say that we're now 1 meter away. How heavy would the mass have to be to still pull with 10m/s^2, which we know our magnet can defeat. (10^6)^2 ~> 10^12 so we have to be 10^24/10^12 ~> 10^12 kg.
So to defeat a tiny magnet 1 meter away you need 10^12kg. Lets pretend our mass is a cube whose volume is 1m^3. That's 10^12kg/m^3. The center of the sun has a density of 10^5kg/m^3. This is 10^7 times denser! We're lucky that our sphere is far too light by many orders of magnitude to collapse into a black hole (maybe not so lucky because it's going to explode immediately!) but it's even denser than a white dwarf. This is on the order of the mass of Mt. Everest (this is a very rough and unprincipled comparison and when you unpack it can mean many different things, but it's something easy to visualize).
So you can see. Gravity is indeed insanely weak. A magnet can defeat Mt. Everest.
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- jsprogrammer 11y agoThis is much more confusing than the previous, one-line view.
- Dylan16807 11y agoThat the comment as a whole is confusing doesn't matter. The point is that you should use something human-scale to show off the strength of gravity. So if you want a fridge-sized block that can hold things with gravity like a normal fridge holds a magnet, how heavy does it have to be? As heavy as an entire mountain.