17. As a body moves to a place 1600 km above the surface of a planet then the value of
acceleration due to gravity of that planet reduces to 9/16 of its value at the surface of
that planet, Calculate the radius of planet.
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Answer:
Given : d=1600km R=6400km
Acceleration due to gravity at a depth d, g
d =g
s
(1−
R
d
)
where g
s
=9.8ms
−2
is acceleration due to gravity at earth's surface.
∴ g
d
=9.8(1−
6400
1600
)=7.35ms
−2
Explanation:
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