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Calculate the value of acceleration due to gravity at a point

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Calculate the value of acceleration due to gravity at a point a. 5.0 km above the earth's surface and b. 5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.80 $m s^{2}$

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Calculate the value of acceleration due to gravity at a point a. 5.0 km above the earth's surface and b. 5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.80

m s^{2}

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Text solutionVerified

Solution: a. the value of g at a height h is (for hltltR)

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

= (9.80 m s^{2}) (1 - \frac{2 \times 5.0 k m}{6400 k m})

=9.78ms^2

b . T h e v a l u e a t a d e p t h h i s

g=g_0(1-h/R)

= (9.8 m s^{- 2}) (1 \frac{5.0 k m}{6400 k m})

= 9.79 m s^{2}

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Question Text	Calculate the value of acceleration due to gravity at a point a. 5.0 km above the earth's surface and b. 5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.80 $m s^{2}$
Answer Type	Text solution:1
Upvotes	153

Calculate the value of acceleration due to gravity at a point a. 5.0 km above the earth's surface and b. 5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.80ms2

Text solutionVerified

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Calculate the value of acceleration due to gravity at a point a. 5.0 km above the earth's surface and b. 5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.80 $m s^{2}$