Why is it said that as we go higher the gravitational force experienced by us decreases, while as we go down(under hypothetical scenario in which person go deep into the crust) the gravitational force experienced by us is increasing. Also why do most scientists say that at the centre of the Earth the gravitational force experienced by a body is ZERO?

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Solution

Dear student
$a) V a l u e o f g r a v i t y a t a h e i g h t h a b o v e e a r t h s u r f a c e i s g i v e n b y g_{1} = \frac{g R^{2}}{(R + h)^{2}} s o w i t h i n c r e a s e i n h v a l u e o f g_{1} d e c r e a s e s b) V a l u e o f g r a v i t y a t a d e p t h h b e l o w e a r t h s u r f a c e i s g i v e n b y t h e f o r m u l a g_{2} = g (1 - \frac{h}{R}) s o a s w e m o v e d o w n t h e e a r t h s u r f a c e h i n c r e a s e s s o v a l u e o f g_{2} d e c r e a s e s . a t t h e c e n t r e o f t h e e a r t h h = R g_{c e n t r e} = g (1 - \frac{R}{R}) = 0 R e g a r d s$

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