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Find the percentage decreases in the accleration due to gravity when a body is taken from the surface of earth to a height of 64km from its surface

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Q. Find the percentage decrease in the acceleration due to gravity when a body is taken from the surface of earth to a height of

64 k m

from its surface. [Take

R_{e} = 6.4 \times 10^{6} m]

g

is the acceleration due to gravity on the Earth' surface, find the gain in potential energy of a body of mass

m

when taken from the surface of Earth at a height equal to the radius

R

Q. Find the percentage decrease in the weight of the body when taken to a depth of

32

km below the surface of earth. Radius of the earth is

6400

Q. Calculate the percentage decrease in the weight of a body when it is taken 32 km below the surface of the earth.
( Radius of the earth = 6400 km)

At which height from earth surface acceleration due to gravity is decreased by 75% of its value at earth surface?

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