Science, asked by avni6710, 1 year ago

why is the weight of an object on the Moon its weight on the earth

Answers

Answered by ShuchiRecites
11
Hello Mate!

I want to explain this question to you with two ways. One is theorotical and one logical (mathematical).

Theorotical = Moon's gravitational force is quite less than earth due to its less mass and radius. We all know that weight is nothing but force with which earth/moon attracts us towards them. Hence, person's weight reduces 1/6 th on moon as compared to earth.

Logical ( Mathemactical ) =

On earth,

 W = \frac{ GMm }{R^2} \\

On moon,

 W' = \frac{ GM'm }{R'^2} \\

Lets divide it,

 \frac{W'}{W} = \frac{GMm}{R^2} × \frac{R'^2}{GM'm} \\ \frac{ W' }{ W } = \frac{M}{M'} × {\frac{R'}{R}}^{2}

Now, mass of moon / mass of earth = 100
R of moon / R of earth = 4

 = > \frac{1}{100} \times {4}^{2} \\ = > \frac{16}{100}

And, 16 / 100 ~ 1 / 6

Hence, proved.

Have great future ahead!

ShuchiRecites: Thanks for attempting brainliest
avni6710: fine
Answered by lakshaysoni01279473
2

Answer:

The weighing machine measures this apparent weight and hence the mass indicated by it is less than the actual mass. Our actual mass will be more than 42 kg.

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