Two asteroids with masses 5.34 x 103 kg and 2.06 x 104 kg are separated by a distance of 5,000 m. What is the gravitational force between the asteroids? Newton's law of gravitation is F gravity Gmim. The gravitational constant Gis 6.67 x 10-11 N-m²/kg2. A. 400N B. 1.24 x 1032 N C. 1.47 x 10-6 N D. 2.93 x 10-10 N

Explanation:

Newton’s Law of Universal Gravitation

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.

Where:

m1 = mass of object 1

m2 = mass of object 2

r     = distance between the objects' center of masses

G   = gravitational constant:

The asteroids have masses of and and are separated by r=5,000 m.

Calculating the gravitational force:

Calculating:

see earlier