Question

The weight of a body on surface of earth is 392 N.what will be the weight of this body on a planet whose mass is doubled that of the earth and radius is four times that of earth?

Answer 1

we know that weight of an body = product of its mass and acceleration due to gravity.
and we also know that weight of an body is the force of attraction by which the earth attract that body towards its centre.
according to universal law of gravitation given by newton =
$force = 6.7 \times {10}^{ - 11} \times \frac{mass1 \times mass2}{ {distance}^{2} }$
now putting value,
$392 = 6.7 \times {10}^{ - 11} \times \frac{mass1 \times mass2}{ {distance}^{2} }$
if that planets Mars is 2 times the earth then the gravitational force will be 392 × 2.
and if the radius of that planet is 4 times the earth then the gravitational force will be=
392 × 2 / 4².
$392 \times \frac{2}{16}$
that will be equal to 49 Newtons.
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Answer 2

Answer:

Weight=49N

Explained in attachment

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