Question

Plz help me. This is really hard and I really don't get it!​

Answer 1

a:
`5.9743*10^(24)`

b:
`3.00587517*10^(5)`

Explanation:

For a:

The combined mass is the totaled mass of all the objects.

So that would be
`(5.9*10^(24))+(7.3*10^(22))+(1.3*10^(21))\\\\(5900+73+1.3)*10^(21)\\\\5974.3*10^(21)\\\\5.9743*10^(24)`

For b:

We need to find how many of the moon-Earth-Pluto combinations are needed to match the mass of the sun.

So, we would calculate the following:

`(1.7958*10^(30))/(5.9743*10^(24)) \\\\(1.7958)/(5.9743) *(10^(30))/(10^(24)) \\\\0.300587517 (approx) * 10^(30-24)\\0.300587517*10^(6)\\3.00587517*10^(5)`

So it would take approximately
`3.00587517*10^(5)` of the moon-Earth-Pluto combos to match the mass of the sun.