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The weight of an object four earth radii from the center of the earth is:

A. 16 times it's weight on the surface.
B. 1/4 It's weight on the surface.
C. 4 times it's weight on the surface.
D. 1/16 It's weight on the surface.

Respuesta :

Answer:

D. 1/16 It's weight on the surface.

Explanation:

As we know that the gravity due to earth at its surface is given as

[tex]g = \frac{GM}{R^2}[/tex]

now at the distance of 4 radius of earth the gravity is given as

[tex]g' = \frac{GM}{(4R)^2}[/tex]

so we can say that

[tex]g' = \frac{g}{16}[/tex]

so here gravity becomes 1/16 times of the gravity due to earth on its surface

now we know that weight on the surface of earth is given as

[tex]W = mg[/tex]

also the weight now at the given height is given by

[tex]W' = mg/16[/tex]

so here correct answer will be

D. 1/16 It's weight on the surface.

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