Answer:
The mass of Jupiter is approximately 318 times the mass of the earth
Step-by-step explanation:
Given
Mass of Jupiter: 1.9x10^27 kilograms,
Mass of Earth = 5.972x10^24 kilograms.
Required: Ratio of mass of Jupiter to mass of earth.
Let
J represent Mass of Jupiter
E represent Mass of Earth
and x represent the ratio of mass of Jupiter to mass of earth.
To calculate how many times the mass of Jupiter is approximately the mass of the earth which interprets as the ratio of mass of Jupiter to mass of earth., we make use of the following definition:
[tex]J = E * x[/tex]
Make x the subject of formula by dividing both sides by E
[tex]\frac{J}{E} = \frac{E * x}{E}[/tex]
[tex]\frac{J}{E} = x[/tex]
Re-order
[tex]x = \frac{J}{E}[/tex]
Substitute
J =: 1.9x10^27 kilograms and E: = 5.972x10^24 kilogram
[tex]x = \frac{1.9 * 10^{27}}{5.972 * 10^{24}}[/tex]
[tex]x = 318.1513730743469[/tex]
[tex]x = 318[/tex]
Hence. the mass of Jupiter is approximately 318 times the mass of the earth
