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Given that the radius of the Earth and acceleration due to gra

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Given that the radius of the Earth and acceleration due to gravity on the surface of the Earth as 6400 km and $9.8 m / s^{2}$ , respectively, find the acceleration due to gravity at a height of 5 km from the surface of the Earth.

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Given that the radius of the Earth and acceleration due to gravity on the surface of the Earth as 6400 km and

9.8 m / s^{2}

, respectively, find the acceleration due to gravity at a height of 5 km from the surface of the Earth.

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Text solutionVerified

Here h << R, ∴ acceleration due to gravity at a height from the surface of the Earth

g_{h} = g_{0} (1 - \frac{2 h}{R})

g_{h} = 9.8 (1 - \frac{2 \times 5}{6400})

g_{d} = 9.785 m / s^{2}

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Question Text	Given that the radius of the Earth and acceleration due to gravity on the surface of the Earth as 6400 km and $9.8 m / s^{2}$ , respectively, find the acceleration due to gravity at a height of 5 km from the surface of the Earth.
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	63