How fast are prayers?
Ok so this on reddit got me thinking. This means that prayer must be affected by gravity, which in turn means prayer has mass. If prayers are to hit the Kaaba then they must be travelling at a maximum altitude of 13m. so using this we can probably work out how fast prayers are
Newtons law of universal gravitation states that the force of a attraction between two bodies( the earth and the prayer) is the gravitational constant by the sum of the mass of the two objects divided by the square of the distance or;
F = G(m1m2)/(r2),
Now we know the gravitational constant G is 6.67 x 10^-11 Nm^2/kg^2
we know the mass of Earth (m1) is 5.98x10^24kg
we know the radius is 13m + the radius of the earth
We dont know the force of attraction or the mass of the prayer
Since the prayer is pulled into a low orbit causing centripetal accelaration, Newtons second law comes into play where F =m2a (force = mass by accelaration)
so m2a = G(m1m2)/r^2
we also know a = v^2/r
so m2 (v^2/r) = G(m1m2)/r^2 m2 (mass of prayer) and radius cancells each other
so v = √(G (m1))/r
r = the heigth of the prayer + the radius of the earth 6,378,113 m
v = √ (6.67 x 10^-11)(5.98x10^24kg)/ 6378113 = 7908.01m/s
so the velocity of a prayer = 7908.01 metres per second
Also, because we know christian prayers go up to heaven and therefore have a greater radius and satanic prayers go down to hell and therefore have a smaller radius. We can tell that, relative to muslim prayers, christian prayers have less mass than muslim ones and satanic prayers have the most mass and carry the most weight.
QED
ok back to work