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How is the mass of the earth calculated?

Answer 1

Hazel Asher

See below.

By applying the density formula, which links the object's mass and volume, we can get an approximation of its mass.

Mass/Volume equals density.

Assuming that the Earth is spherical and that its diameter is known, we can compute the volume from

#V = 4/3pi r_3#

The mass of the Earth could then be roughly calculated using an average density.

We can determine the volume more precisely thanks to satellite technology and today's advanced technology.

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Answer 2

Lydia Allen

#5.97 X 10^24# kg, nearly.

A formula for approximating mass of the Earth:

#m = r^2g/G#, r = Earth radius =6378 km, g = acceleration due to Earth's gravity =0.0098 km/#s^2# and G - gravitational constant = 6.67 E-20# (kg)^(-1)(km)^(-3)(s)(-2)#

Units are compatible, in both dimensions and units,.

#So, m =(6378^2)(0.0098)/(6.67 E-20) kg = 5.97 E+24 kg.

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Answer 3

Levi Alexander

Newton's law of gravitation is used to calculate Earth's mass. Gravitational force, distance, and a constant are measured.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.