Respuesta :
The combined mass of earth and moon is [tex]6.0435 \times 10^{24}[/tex] kg
Solution:
Given that moon has a mass of [tex]7.35 \times 10^{22}[/tex] kg while the earth has mass of [tex]5.97 \times 10^{24}[/tex] kg
To find: combined mass of earth and moon
From given question,
mass of earth = [tex]5.97 \times 10^{24}[/tex] kg
mass of moon = [tex]7.35 \times 10^{22}[/tex] kg
Combined mass = mass of earth + mass of moon
Substituting the values we get,
[tex]\text{ Combined mass } = 5.97 \times 10^{24} + 7.35 \times 10^{22}[/tex]
Make both the exponents same
Move the decimal point two times left in [tex]7.35 \times 10^{22}[/tex] and increase the exponent to [tex]10^{24}[/tex]
[tex]\text{ Combined mass } = 5.97 \times 10^{24} + 0.0735 \times 10^{24}\\[/tex]
Take [tex]10^{24}[/tex] as common term
[tex]\text{ Combined mass } = 10^{24} (5.97 + 0.0735)\\\\\text{ Combined mass } = 6.0435 \times 10^{24}[/tex]
Thus combined mass of earth and moon is [tex]6.0435 \times 10^{24}[/tex] kg
