Question

A body weighs 200N on the surface of the earth.How much will it weight half way down to the centre of the earth?

Answer 1

weight of body on the surface of the earth, W = 2000N

so, mass of body = W/g , where g is acceleration due to gravity on the surface of the earth. i.e., g = 10m/s²

now, m = 200/10 = 20 Kg.

find acceleration due to gravity d m depth from the surface of the earth.

we know,

g'= $g\left(1-\frac{d}{R}\right)$

given, d = R/2

so, g' = g(1 - 1/2) = g/2 = 5m/s²

now weight of body = mg'

= 20 × 5 = 100N

hence, answer is 100N.

Answer 2

Answer100N:

Explanation:

W=200N

m=200÷10=20kg

Then aplly depth formula by putting d=r/2

Then you will get 5

Then multiply by 20 =100