Question

what percentage of the earth's mass is the moon's mass?earth's mass - 5.98 x 10²⁴ kgmoon's mass - 7.35 x 10²² kg

Answer 1

Given data:

* The mass of Earth is,

`M=5.98*10^(24)\text{ kg}`

* The mass of Moon is,

`m=7.35*10^(22)\text{ kg}`

Solution:

The percentage of the Moon mass in comparison to the Earth's mass is,

`P=(m)/(M)*100\text{ \%}`

Substituting the known values,

`\begin{gathered} P=(7.35*10^(22))/(5.98*10^(24))*100\text{ \%} \\ P=1.23*10^(22-24)*100\text{ \%} \\ P=1.23*10^(-2)*100\text{ \%} \\ P=1.23*(100)/(100)\text{ \%} \\ P=1.23\text{ \%} \end{gathered}`

Thus, the Moon's mass is 1.23 percent of mass of Earth.