Final answer:
To calculate the strength of the gravitational force between two celestial bodies, we can use Newton's law of gravitation. Plugging in the given numbers and using the formula, we find that the strength of the gravitational force exerted by one body on the other is 3.26 x 10^23 N.
Step-by-step explanation:
To calculate the strength of the gravitational force between two celestial bodies, we can use Newton's law of gravitation:
F = G(m1)(m2)/r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two bodies, and r is the distance between them.
Plugging in the given numbers:
G = 6.67 x 10^-11 Nm^2/kg^2
m1 = 2.79 x 10^25 kg
m2 = 9.47 x 10^11 kg
r = 1.20 x 10^6 m
Using the formula, we can calculate the strength of the gravitational force:
F = (6.67 x 10^-11 Nm^2/kg^2)(2.79 x 10^25 kg)(9.47 x 10^11 kg)/(1.20 x 10^6 m)^2
Simplifying the expression, we get:
F = 3.26 x 10^23 N
Therefore, the strength of the gravitational force exerted by one body on the other is 3.26 x 10^23 N, option (a).