Question

Calculate the ratio
of weight of a
body when it is taken to 80 km.
above the Surface of earth and
when taken to 80 km. below the
surface of earth​

Answer 1

Answer:

The acceleration Due to Gravity variation on :-

at an height 'h' g

1

1

=g(

R+h

R

)

2

at adept 'd'g

2

1

=g(1−

R

d

)

where g : at surface and R : Radius of Earth

an weight of body, w = mg', mg',g

′

accln. due to gravity at that point.

Ratio of weights :-

w

2

w

1

=(

R+h

R

)

2

×(

R−d

R

)

From question, R = 6400km, d = h = 200km so,

w

2

w

1

=

(6400+200)

2

(6400−200)

(64000)

3

=

(6600)

2

(6200)

(6400)

3

≃0.97 (Ans)