Question

The mass of the Earth is approximately 5.98 × 1024 kilograms and the mass of the Moon is approximately 7.35 × 1022 kilograms. Approximately how much greater is the mass of the Earth than the mass of the Moon?

Answer 1

It is a question that leads us to know the proportion of one element to another. We have initially that the mass of the earth is of

m_E = 5.98*10^{24}kg

While the mass of the Moon is of

m_M = 7.35*10^{22}kg

The ratio  between the two is given by the function

$\frac{m_E}{m_M} = \frac{5.98*10^{24}kg}{7.35*10^{22}kg}$

$\frac{m_E}{m_M} = 81.36$

This means that the mass of the earth is 81.36 times larger than that of the Moon.