Saturn's moon Titan has a mass of 1.35 * 1023 kg. If Titan is 1.19 * 106 km from Saturn, and Saturn's mass is 5.86 * 1026 kg, what is the gravitational force between Saturn and its moon?

2.76 * 104 N

3.29 * 107 N

3.73 * 1021 N

4.43 * 1030 N

The gravitational force equation is Fg = (G*M*m) / r² where, G is the gravitational constant, G=6.67*10^-11 m³/kg*s², M is the mass of Saturn, M=5.86*10^26, m is the mass of Titan, m=1.35*10^23 and r is the distance, r=1.19*10^6 km=1.19*10^9 m. Now we simply input the numbers into the equation:

Fg = (6.67*10^-11) * (5.86*10^26) * (1.35*10^23) / (1.19*10^6) ²

Fg = (5.277*10^39) / (1.41*10^18) = 3.743*10^21 N

The correct answer is the third one.