Question

The mass of Jupiter is approximately 1.9x10^27 kilograms, while the mass of the earth is approximately 5.972x10^24 kilograms. The mass of Jupiter is approximately how many times the mass of the earth

Answer 1

To find how many times the mass of Jupiter is greater than the mass of Earth, divide 1.9×1027 kg by 5.972×1024 kg, which yields a result of approximately 318 times.

Step-by-step explanation:

Jupiter's mass, approximately 1.9 × 10^27 kilograms, significantly surpasses Earth's mass of about 5.972 × 10^24 kilograms. To gauge this difference, one calculates the ratio of Jupiter's mass to Earth's. The division yields a value of 318, indicating that Jupiter's mass is roughly 318 times greater than Earth's. This substantial contrast in mass underscores Jupiter's immense size and gravitational influence compared to our home planet. Such comparative calculations help in comprehending the vast scales involved in celestial bodies, emphasizing the staggering proportions that define our solar system.

Answer 2

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:

`J = E * x`

Make x the subject of formula by dividing both sides by E

`(J)/(E) = (E * x)/(E)`

`(J)/(E) = x`

Re-order

`x = (J)/(E)`

Substitute

J =: 1.9x10^27 kilograms and E: = 5.972x10^24 kilogram

`x = (1.9 * 10^(27))/(5.972 * 10^(24))`

`x = 318.1513730743469`

`x = 318`

Hence. the mass of Jupiter is approximately 318 times the mass of the earth