Tay Sharpe asked:
Where on the Earth would you experience the strongest and weakest gravity?
We put this to Dominic Ford from the Department of Physics in Cambridge...
Dominic - The principle of physics that you need to work out the gravitational field around the distribution of matter is Newtonís Law of Gravity. What that says is that every piece of matter in the universe attracts every other piece of matter in the universe with a force that decreases with the distance between the two masses, but it increases with the mass of those objects. So, when it comes to the whole Earth, you have to add up the forces from all of the little bits that make up the sphere of the Earth, to work out what the total net force is, and that's actually a mathematical problem that gave Newton quite a headache when he was formulating his Law of Gravity and it led him to pioneer a new mathematical technique that we call calculus to add up those little forces.
But even though the math itself is quite tricky, itís fairly easy to see roughly what the answer must look like because if you imagine that you burrow down into the Earth, you've then got some of the Earth above your head, and the rest of it below your feet whereas the before, the whole Earth was pulling you in one direction downwards. So when you burrow down into the Earth, the gravitational forces are cancelling out and that means there must be a weaker gravitational field down inside the Earth than there is on the surface.
Similarly, if you travel upwards into space or climb a high mountain, then the Earth is further away and that means its gravitational pull is weaker, and so, you will weigh less.
Diana - Standing at the top of Mt. Everest might make you feel a little bit lighter and that's in more than one way, I think! But what might make us feel a stronger pull?
Dominic - There are variations in the gravitational field across the surface of the Earth and that's actually a way that people look at the geology and the rocks that the Earth is made of. So, if you're looking for a particular kind of rock, you can look for variations in the strength of gravity that tell you that you've got denser rocks or less dense rocks, and that might tell you about the rock composition below your feet.
The Earth does bulge out at its equator, but in fact, the amount by which it bulges out is exactly the right amount to cancel out the centrifugal force from the Earthís rotation. So, in terms of the downward force that you feel, itís the same all over in the surface of the Earth.
Diana - Certain rocks give certain areas of the earthís stronger gravitational pull and the bulge at the earthís equator counteracts the centrifugal force of the earthís rotation, sounds simple. On Facebook, Steven Duncan said that you should place your bathroom scales on the roof rather than in the basement. Shawn Hoskins said that the Naked Scientists ought to fund a field trip for listeners to travel the globe to find out!
I'd think it is on the Earth's surface, probably close to the equator, or is closer to the poles? Geezer, Mon, 21st Mar 2011
Just a few weeks ago the European Space Agency released results from its satellite GOCE which answers this question -
For the weakest gravity on earth you'll want to stand on the top of everest (you'll be further from the centre of the earth there), and for the strongest you'd need to stand (water pressure not withstanding) at bottom of the Marianas Trench (where you'll be closer to the centre of the earth). Womble, Mon, 21st Mar 2011
Theoretically gravity is strongest at the centre of the Earth due to the gravitational equation. However the strength of gravity is very different from the strength of the effect. For example if you were at the centre gravity would be accelerating you the fastest, how ever this would be in all directions, so the overall effect of gravity would be 0 m/s^-2. But the place you would weigh the most I would assume is where there's a balance between distance from the centre and furthest of negative gravity pushing you up. alftheelf, Mon, 21st Mar 2011
Its got be on the surface as all the mass is behind you. It could be added to if the sun and moon were behind you as well.
@NakedScientists The GOCE answer kinda finalises the debate to be fair, it's the most accurate gravity measurement data we have isn't it? was twittered by @quantumapple @quantumapple, Thu, 24th Mar 2011
Now MR Quantum apple, why introducing facts into a otherwise interesting discussion?
As gravity depends on Mass and Square of Distance between object and centre of earth, According to this formula: GMe/Re^2. So Earth is considered to be spherical in shape, so it's distance from centre increases from equator and decreases from poles, so according to g= GMe/Re^2, Gravity is inversely related with distance, so on poles distance decreases and Gravity increases. Raza, Sat, 26th Mar 2011
Excited for the show! can't wait for it to be posted :) - Fan from Philippines Rexel, Sun, 27th Mar 2011
Bit late now for the QotW show, but the BBC have some nice digestible info from the Goce satellite up today:
According to KahnAcademy if you travel toward the center of the earth, the force of gravity would diminish. The center of mass would move as you move toward the center of earth and gravitional pull at the center of earth would be less as you move toward the center. Sid Tracy, Sun, 9th Sep 2012