The mass of Earth’s Moon is about 7 X 10 to the 22 power kilograms. The Mass of Jupiter is about 1.89 x 10 to the 27 Power Kilograms. how many times the mass of Earth’s Moon?

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.