Question

Two spherical objects have masses of 3.1 x 105 kg and 6.5 x 10 kg. The

gravitational attraction between them is 35 N. How far apart are their
centers (G = 6.67 x 10-¹¹)?

A.) 4.5 x 10^-2m
B.) 8.8 x 10^-2m
C.)2.7 x 10^-2m
D.) 6.2 x 10^-2m

Answer 1

The answer is B.) 8.8 x 10^-2m.

Explanation: The gravitational force between two objects is given by:

F = G * (m1 * m2) / r^2

where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers.

We are given:

m1 = 3.1 x 10^5 kg

m2 = 6.5 x 10 kg

F = 35 N

G = 6.67 x 10^-11 N m^2 / kg^2

We can rearrange the equation to solve for r:

r = √(G * m1 * m2 / F)

Substituting the given values:

r = √(6.67 x 10^-11 N m^2 / kg^2 * 3.1 x 10^5 kg * 6.5 x 10 kg / 35 N)

r = 8.8 x 10^-2 m

Therefore, the distance between the centers of the two objects is approximately 8.8 x 10^-2 meters.

Step-by-step explanation:

Answer 2

Answer: The answer is B.) 8.8 x 10^-2m.

Explanation: The gravitational force between two objects is given by:

F = G * (m1 * m2) / r^2

where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers.

We are given:

m1 = 3.1 x 10^5 kg

m2 = 6.5 x 10 kg

F = 35 N

G = 6.67 x 10^-11 N m^2 / kg^2

We can rearrange the equation to solve for r:

r = √(G * m1 * m2 / F)

Substituting the given values:

r = √(6.67 x 10^-11 N m^2 / kg^2 * 3.1 x 10^5 kg * 6.5 x 10 kg / 35 N)

r = 8.8 x 10^-2 m

Therefore, the distance between the centers of the two objects is approximately 8.8 x 10^-2 meters.