Why are tidal forces inversely proportional to the cube of the distance, and not to the square, as normal gravity force?
Where can I find more ifo about this?
Thanks in advance.
I've been trying to derive the Roche Limit and have been successful for the most part but out of curiosity i was wondering how the tidal force equation was derived to be: -2GMmr/d^3 ??
Also on a related note i always get the constant at the front of the Roche Limit equation to be the cube...
I am having a little trouble with this problem it is as follows:
consider the tidal force #(F_tid=-G*M*m[(d_unit vector/d^2)-(d_0 unit vector/d_0^2)]) on a mass m at the position P. write d as (d_0-R(radius of earth))=d_0*(1-R/d_0) and use binomial approximation to show that F_tid=...
It is said that the moon's tidal forces on the Earth create differential torque which causes a slowing of the Earth rotation. It is said that this causes the moon to increase its radius of orbit. The remarkable result is that rotational energy of the Earth is transferred to the moon to increase...
I'm an undergraduate physics major and I want to create an experiment where I measure the difference in gravity between sunrise, noon, sunset, and midnight (and everything in between for that matter) due to the tidal effect from the moon and sun. I did some calculations and I expect the...
I am a little puzzled by the following:
The moon in causing Earth tides causes the Earth to generate heat loss due to friction and slows down the Earth rotation. This decreases the angular momentum of the earth. The angular momentum of the Earth and moon system combined cannot change. So the...
Many websites claim that someone falling into a black hole would be ripped apart by tidal forces as he crosses the event horizon. Others say that the falling observer feels nothing special as he crosses the event horizon - he doesn't get torn apart by tidal forces until he gets close to the...
This is a question which I have been been tossing around for some time. By looking at gravitationally induced deformation of celectial bodies, I wonder one thing; where is the conservation of energy? Here's the deal: tides, in the oceans of Earth or the siliciclastic crust of Io, are a...
A comet grazes a planet at a distance R. Show that the planet's tidal force can disrupt the comet is the planet's mean density is greater than that of the comet.
P--------R-------C
F=-GMm/r2
Now my TA advises me to expand this function about r=R using a taylor series. But c'mon, this is...
In a harbour, the time between successive high tides is 10 hours. On a day when the height of high tide above low tide is 8.0m, find
(i) the angular frequency of the tides;
(ii) the time interval within a cycle during which the sea-water is more than 5.0m above the low tide;
(iii) the...