Question

Saturn’s moon Titian has a mass of 1.35 x 1023 kg . If titan is 1.19 x 106 km from Saturn and saturn’s mass is 5.86 x 1026kg what is the gravitational force between Saturn and it’s moon

Answer 1

m1=Titan's mass
m2=Saturn's mass
d=distance between Titan and Saturn
Convert distance from km to m (1.19×10^6 km=1.19×10^9 m)

Newton's law of universal gravitation:
F=G×m1×m2/d²
F=6.67×10^-11×1.35×10^23×5.86×10^26/1190000000²
F=3.726×10^21 N

Answer 2

3.92 x 10^21 N

Step-by-step explanation:

Mass of Titan, m = 1.35 x 10^23 kg

Mass of Saturn, M = 5.86 x 10^26 kg

r = 1.19 x 10^6 km = 1.16 x 10^9 m

Let the force between them is F.

By use of law of gravitation

F = G M m / r^2

F = (6.67 x 10^-11 x 1.35 x 10^23 x 5.86 x 10^26) / (1.16 x 10^9)^2

F = 3.92 x 10^21 N