The mass of the earth is:

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5.98 \times 10^{24}

5.98 \times 10^{34}

5.98 \times 10^{21}

5.98 \times 10^{25}

answer is A.

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Detailed Solution

Concept- It is physically impossible to determine the mass of the earth in the aforementioned query. However, it may be discovered in another way. We may determine the approximate mass of the earth by applying Newton's Law of Universal Gravitation, which states that two masses are attracted to one another by a force.
Using Newton's Law of Universal Gravitation, which states that all masses in the universe are attracted to one another, the aforementioned problem is resolved. The equation is

But he didn't have the tools to measure the constant.

.
Later on, after many years a torsion balance was used to measure this very tiny constant and the value of

was found where

Imagine there is a mass

sitting on the top and

is the distance from the center
We also have a formula that tells us how much the earth pulls it down.

And Newton had another formula

. Both will tell us the force in Newtons, pulling that mass

to the center of the earth. We may thus compare these two equations.

where the mass of the earth is

. As a result, by replacing the values where

denotes the acceleration due to gravity and