High School

A grain of sand has a mass of approximately [tex]6 \times 10^{-2}[/tex] grams. Earth has a mass of approximately [tex]6 \times 10^{28}[/tex] grams. How many times the mass of the grain of sand is the mass of Earth?

Answer :

the mass of Earth is 6 x 10^30 times the mass of a single grain of sand.

To find the answer, we need to divide the mass of Earth by the mass of a single grain of sand:

Mass of Earth / Mass of a single grain of sand = 6 x 10^28 / 6 x 10^-2

To divide these two numbers, we can simplify the expression by multiplying the numerator and denominator by 10^2, which gives:

(6 x 10^28) / (6 x 10^-2) x (10^2 / 10^2) = (6 x 10^30) / 1

what is mass?

Mass is a measure of the amount of matter in an object. It is usually measured in units of kilograms (kg) or grams (g) using a balance. Mass is an intrinsic property of an object, which means it does not depend on the object's location or environment.

In contrast to weight, which is the force exerted on an object due to gravity, mass is a scalar quantity and does not have direction. Mass is conserved in a closed system, which means it cannot be created or destroyed, only transferred or converted into other forms of energy.

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