An astronaut on the Moon places a package on a scale and finds its weight to be

Question

An astronaut on the Moon places a package on a scale and finds its weight to be 13 N.
(a) What would the weight of the package be on the Earth?
In N
(b) What is the mass of the package on the Moon?
In kg
(c) What is the package's mass on Earth?
In kg

A force of gravity exists between two masses. How is the initial force of gravity (F1) affected if the separation distance between them is modified in the following ways to yield a new force of gravity (F2)?
(a) The separation distance is increased by a factor of 5.
F2 / F1 =

(b) The separation distance is decreased to one-fourth of the original length.
F2 / F1 =

Explanation / Answer

(a) the weight on moon, w = mg' = 13 N       here g' = g/6 the weight of the package be on the Earth , W = mg = 13*6          = 78 N the weight on the earth is 78 N. (b) the mass on the moon, m = 7.95 kg (c) the mass on the earth , m = 7.95 kg ------------------------------------------------- the gravitational force is inversely proportional to the square of the distance.    F1/d (a) F2/F1 = 1/25 (b) F2/F1 = 16

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