Question

Well it's a tricky question---What is the acceleration due to gravity at the centre of the EarthWe know it's Zero........but... g = GM / R 2 At the centre of the earth R will be zero.....so, g = GM / 0 2 g = GM / 0(GM / 0 ) is infinity.......... now What Is g ,it is infinity...........Am I correct?

Answer 1

well we know that gravitational force =GMm/r^2
where G is universal gravitational constant ,
M is mass of object 1(here lets take earth's mass)
m is mass of object 2
r is distance between two objects
and when we go closer to the earths surface the mass of the earths keeps on decreasing and becomes zero when we reach it center hence if the mass of earth is zero then Gravitational force will also be zero

Talking about distance the distance can never become zero in this case because this distance is not measure from the surface of object but from its centre
for eg:- u have two balls and u have placed then in such a way that they touch each other but here the distance r is still not 0 because the distance from their centre isnt zero
same is the case with earth the distance cannot be zero if the object has mass

 we know that
 Force= mass * acceleration
0/mass= acceleration (g)  ____________(here force is zero as we have already discussed above that when object comes at the centre of earth the gravitational force becomes zero)
hence the value of g=0 at the centre of earth
Hope this helped u :-

Answer 2

Answer:

refer to the above attachment

hope it helps uh :)