Question

Find the gravitational force between Saturn (5.68 x 10^26kg ) and the sun (1.99 x 10^30 kg). Saturn orbits at a distance of 1,404,219,991,220 m.

Answer 1

ANSWER

$3.826\cdot10^{22}N$

EXPLANATION

To find the gravitational force between them, apply the formula for gravitational force:

$F=\frac{GmM}{r^2}$

where G = gravitational constant = 6.6743 * 10^(-11) Nm²/kg²

m = mass of Saturn

M = mass of the sun

r = distance between them (radius of Saturn's orbit)

Therefore, the gravitational force between them is:

$\begin{gathered} F=\frac{6.6743\cdot10^{-11}\cdot5.68\cdot10^{26}\cdot1.99\cdot10^{30}}{(1,404,219,991,220)^2} \\ F=\frac{75.4409\cdot10^{-11+26+30}}{1.9718\cdot10^{24}}=\frac{7.54409\cdot10^{46}}{1.9718\cdot10^{24}} \\ F=3.826\cdot10^{22}N \end{gathered}$