What is the value of g on the surface of saturn? assume m-saturn = 5.68×10^26 kg and r-saturn = 5.82×10^7 m. choose the appropriate explanation how such a low value is possible given saturn's large mass - 100 times that of earth. a) this low value is possible because the density of saturn is so low. b) this low value is possible because the magnetic field of saturn is so weak. c) this low value is possible because the magnetic field of saturn is so strong. d) this low value is possible because the density of saturn is so high.

Approximately at that distance from the center of the planet.

Option A) The low value of near the cloud top of Saturn is possible because of the low density of the planet.

Explanation:

The value of on a planet measures the size of gravity on an object for each unit of its mass. The equation for gravity is:

,

where

To find an equation for , divide the equation for gravity by the mass of the object:

.

In this case,

Calculate based on these values:

.

Saturn is a gas giant. Most of its volume was filled with gas. In comparison, the earth is a rocky planet. Most of its volume was filled with solid and molten rocks. As a result, the average density of the earth would be greater than the average density of Saturn.

Refer to the equation for :

.

The mass of the planet is in the numerator. If two planets are of the same size, would be greater at the surface of the more massive planet.

On the other hand, if the mass of the planet is large while its density is small, its radius also needs to be very large. Since is in the denominator of , increasing the value of while keeping constant would reduce the value of . That explains why the value of near the "surface" (cloud tops) of Saturn is about the same as that on the surface of the earth (approximately .

As a side note, likely refers to the distance from the center of Saturn to its cloud tops. Hence, it would be more appropriate to say that the value of near the cloud tops of Saturn is approximately .

less than one you can't create energy