Question

The moon has a mass of 7.35×10^22 KG while earth has a mass of 5.97×10^24 KG what is the combined mass of the earth and moon

Answer 1

The combined mass of earth and moon is
`6.0435 * 10^(24)` kg

Solution:

Given that moon has a mass of
`7.35 * 10^(22)` kg while the earth has mass of
`5.97 * 10^(24)` kg

To find: combined mass of earth and moon

From given question,

mass of earth =
`5.97 * 10^(24)` kg

mass of moon =
`7.35 * 10^(22)` kg

Combined mass = mass of earth + mass of moon

Substituting the values we get,

`\text{ Combined mass } = 5.97 * 10^(24) + 7.35 * 10^(22)`

Make both the exponents same

Move the decimal point two times left in
`7.35 * 10^(22)` and increase the exponent to
`10^(24)`

`\text{ Combined mass } = 5.97 * 10^(24) + 0.0735 * 10^(24)\\`

Take
`10^(24)` as common term

`\text{ Combined mass } = 10^(24) (5.97 + 0.0735)\\\\\text{ Combined mass } = 6.0435 * 10^(24)`

Thus combined mass of earth and moon is
`6.0435 * 10^(24)` kg