How can i prove that earth isn't flat with integrale?
>pic not related
>>8969649
i don't think you can definitely prove it, it's a question still open to debate.
t. astronomer
>>8969659
It's for highschool students, i was thinking to use gravitational force and show how g change in every points in the flat earth
>>8969649
Well integrating analytically anything other than some basic mass shapes will be nigh impossible. I recommend integrating over a disc and a ball and showing that on a disc, the intensity is non-homogeneous near the surface, which would mean that we would observe different gravitational acceleration in different spots on Earth. I would also point out that the flat earth would work if and only if the plane would be (nearly) infinite.
>Protip: You can't
>>8969649
>pic not related
Not true. It's a great representation of where your thread belongs.
F=−Gm1m2r2
F=−Gm1m2r2
a=−Gmr2
a=−Gmr2
V=−Gm∫1r2dt
V=−Gm∫1r2dt
V2=−Gm∫1r2dtdrdt
V2=−Gm∫1r2dtdrdt
V2=−Gm∫1r2dr
V2=−Gm∫1r2dr
V2=−Gm(−1r+c)
0=−Gm(−1s+c)
0=−Gm(−1s+c)
c=1/s
c=1/s
V2=Gm(1/r−1/s)
V2=Gm(1/r−1/s)
V=±Gm(1/r−1/s)
V=Gm(1/r−1/s)−−−−−−−−−−−−√
V=Gm(1/r−1/s)
drdt=Gm(1/r−1/s)−−−−−−−−−−−−√
drdt=Gm(1/r−1/s)
dtdr=1Gm(1/r−1/s)−−−−−−−−−−−−√
dtdr=1Gm(1/r−1/s)
t=∫1Gm(1/r−1/s)−−−−−−−−−−−−√dr
t=∫1Gm(1/r−1/s)dr
t=1Gm−−−√∫11/r+1/s−−−−−−−−√dr
>>8970064
Wtf