Question

The mass of earth is about 6 x 10 to the 24th power kilograms. The mass of the moon is about 7 x 10 to the 22th power kilograms. The mass of Jupiter is about 2 x 10 to the 27th power kilograms. About how many times as large is earths mass compared to the moons mass

Answer 1

Earth is 85.7 times heavier than that of Moon.

Explanation:

Mass of Earth is
`m_E=(6* 10)^(24)` kg

Mass of Moon is
`m_M=(7* 10)^(22)` kg

Now, ratio of mass of earth to mass of moon is given as:

`(m_E)/(m_M)=((6* 10)^(24))/((7* 10)^(22))=(600)/(7)\\m_E=(600)/(7)* m_M\\m_E=85.7* m_M`

Therefore, the mass of Earth is nearly 85.7 times heavier than moon.