Question about gravity?

Answerer 1

Your assersion is wrong. Earth’s graviational field is NOT stronger than Saturn’s. Who told you that it was?
Now, HERE ON EARTH, then, yes, earth’s pull is stronger because Saturn is so far away. Remember that the strength of gravity depends on the product of the masses and the distance between them in accord with Newton’s law of gravitation

F = G M m / r^2

where
F = force of gravity (N); G = universal graviational constant; M = mass (Kg); m = mass (Kg)
r = distance between their centers of mass (m)

Answerer 2

Not size, but mass. Larger the mass the more gravitational pull. Also you are wrong, Saturn has more mass therefore has greater gravity than the earth.

Earth Gravity: 9.78 m/s
Saturns Gravity 10.44 m/s

Answerer 3

Both the Ans are correct.Normally when we compare gravity of two planets it is always at the surface.So A smaller Planet may have more g if its radius is small because surfce will be very close to center.In such cases density has been found more.

Answerer 4

I’ve heard that the larger the object, the stronger the gravitational field. TRUE

Earth is smaller than Saturn yet Earth’s gravitational field is stronger than Saturn’s. FALSE

The gravitational field at the surface of Saturn is 10.44 N/kg, as opposed to earth’s of 9.8 N/kg

But gravitational field doesn’t depend on just mass, but also the distance from the center of mass. Saturn has a mass 95 times that of earth, but it is a gaseous ball, so the distance to the surface from the center is much more than on earth.

Gravitational attraction in newtons
F = G m₁m₂/r²
G = 6.674e-11 m³/kgs²
m₁ and m₂ are the masses of the two objects in kg
r is the distance in meters between their centers

Answerer 5

The full equation for the force of gravity between two bodies is:

F = ( G M1 M2 / r^2)

So for a test mass, M1, the force due to Earth on the mass is

F_EarthOnTestMass = M1 * (G M_Earth / R_Earth-TestMass^2)

F_SaturnOnTestMass = M1 * (G M_Saturn / R_Saturn-TestMass^2)

For on the test mass depends on two factors:
Directly Proportional to the mass of the 2nd object
Inversely Proportional to the square of the distance between them.

For a test mass on the earth, even though the mass of Saturn is much bigger than Earth, the distance factor dominates in the case because distance from the test mass to Saturn and Earth are so big and because of the of the inverse square relationship, the mass of the close object dominates. Because the test mass is so much closer to Earth, the Earth’s gravity is bigger.