Question

The ratio of acceleration due to gravity on the surface of the earth and at a point at certain height from the surface of the earth is 4:1, then the ratio of mass of a body on surface of the earth to the mass at that height is


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Answer 1

Answer:

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Answer 2

Answer:

Let the force of gravitation on an object of mass m at an altitude h from the

earth's surface distance be equal to f.

Since,

f=G

(R

e

+h)

2

M

e

m

=mg

′

So, g

′

=

(R

e

+h)

2

GM

e

Since g=

R

e

2

GM

e

Therefore,

g

g

′

=(

R

e

+h

R

e

)

2

=0.64

so,

R

e

+h

R

e

=0.8

h=4R

e

=4×6400km

=25600km