Question

2. Saturn has a radius of about 9.0 earth radii, and a mass 95 times the Earth’s mass. Estimate the gravitational field on the surface of Saturn compared to that on the Earth

Answer 1

@Abhisar

Answer 2

@pooja195

Answer 3

Do you know the formula we use to calculate gravitational force?

Answer 4

F = G \frac{m_1 m_2}{r^2}\ ,

Answer 5

Yes, Now for field we just replace the other mass with 1 and R with radius
So the formula for field would be

\(\sf \huge \frac{G\times M}{R^2}\)

Let the mass of earth be M and radius be R

\(\therefore\) Field will be \(\sf \huge \frac{G\times M}{R^2}\). Let this be equal to a random quantity F.



In next step calculate the field of Saturn by replacing M with 95M and R with9R. Compare the result with F

Answer 6

\[\frac{ G*95M }{9R^2 }\]

Answer 7

You missed it, The denominator will be \(\sf (9R)^2\) = ?

Answer 8

?

Answer 9

\[\sf \frac{ G*95M }{(9R)^2 }\]

Answer 10

Getting it....because you replace R with (9R)

Answer 11

G∗95M\[G∗95M(9R)2\]
(9R)2

Answer 12

so the answer is (9R)^2?

Answer 13

@Abhisar

Answer 14

No. You need to compare \[\sf \frac{ G*95M }{(9R)^2 }\] with Field of earth we calculated earlier.

Answer 15

\[11.49m/s^2\]