Respuesta :
Answer:
2.025
⋅
10
20
,
0.002759
Step-by-step explanation:
F
=
G
(
m
1
)
(
m
2
)
r
2
F
=
(
6.67300
×
10
−
11
)
(
7.34
⋅
10
22
k
g
)
5.97
⋅
10
24
k
g
(
3.8
⋅
10
8
m
)
2
=
2.025
⋅
10
20
Answer:
27,000 times.
Step-by-step explanation:
We have been given that the mass of Earth’s Moon is about [tex]7\times 10^{22}[/tex] kilograms. The Mass of Jupiter is about [tex]1.89\times 10^{27}[/tex] kilograms.
To solve our given problem, we will divide mass of Jupiter by mass of Earth's moon.
[tex]\frac{1.89\times 10^{27}}{7\times 10^{22}}[/tex]
Using property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]\frac{1.89}{7}\times 10^{27-22}[/tex]
[tex]0.27\times 10^{5}[/tex]
[tex]0.27\times 100000[/tex]
[tex]27,000[/tex]
Therefore, the mass of Jupiter is 27,000 times the mass of Earth’s Moon.