Question

at what distance below the surface of the Earth the acceleration due to gravity decrease by 10% of its value at the surface given radius of earth is 6400km (ans: 640km)​

Answer 1

640 km below earth surface acceleration due to gravity decrease by 10% of its surface.

Explanation:

The acceleration due to gravity decrease by 10% of its value at the surface.

The formula of g depends on h

$g_h=g(1-\dfrac{h}{R})$

where, g is gravity at earth surface

R is radius of earth.

$g_h$ is decrease by 10% of g

$g_h=g-10\%\ of\ g$

$g_h=0.9g$

$0.9g=g(1-\dfrac{h}{R})$

$0.9=1-\dfrac{h}{R}$

$\dfrac{h}{R}=1-0.9$

$\dfrac{h}{R}=0.1$

$h=0.1R$

$h=0.1\times 6400$

$h=640\ km$

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Acceleration of gravity due to decrease in height

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Answer 2

Answer:

640km

Explanation:

g is decreased by 10%

gh =o.9 g

0.9g = 1- 0.9

h/r = 0.1

h = 0.1×r (r=6400km)

h= 0.1× 6400

h= 640km

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