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3 years ago

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The acceleration due to gravity near Earth ... Select one: a. varies inversely with the distance from the center of Earth. by. v

aries inversely with the square of the distance from the center of Earth. c. is a constant that is independent of altitude d. varies directly with the distance from the center of Earth.

1 answer:

vladimir1956 [14]3 years ago

7 0

Answer:

b. varies inversely with the square of the distance from the center of Earth.

Explanation:

Comparing the Newton's law of universal gravitation and second law of motion;

from Newton's second law of motion,

F = ma ............. 1

from New ton's law of universal gravitation,

F = $\frac{GMm}{r^{2} }$ ........... 2

Equating 1 and 2, we have;

mg = $\frac{GMm}{r^{2} }$

g = $\frac{GM}{r^{2} }$

Therefore, the acceleration due to gravity near Earth, g, is inversely proportional to the square of the distance from the center of Earth.

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Using equation of motion

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Put the value in the equation

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Using formula of distance

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Put the value into the formula

$H'=2397.4-1800$

$H'=597.4\ m$

Hence, The distance close to the peak is 597.4 m.

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