Question

consider an object of mass 50 kg estimate the weight of the object at distance R to R for 6 and 10 hour from the centre of the earth plot a graph showing the weight of object with respect of the distance from the centre of the earth​

Answer 1

We know that-

g=

R

3

GMx

for x<R= radius of earth

And g=

x

2

GM

for x≥R

At surface, g=

R

2

GM

=9.8m/s

2

At half the radius of earth, x=

2

R

g

′

=

R

3

GMx

=

R

3

GM

2

R

=

2

1

R

2

GM

⟹g

′

=4.9m/s

2

and hence weight will also get halved.

∴weight=125N