The two spheres pictured above have equal densities and are subject only to their mutual gravitational attraction. Which of the following quantities must have the same magnitude for both spheres? (A) Acceleration (B) Velocity (C) Kinetic energy (D) Displacement from the center of mass (E) Gravitational force........ I understand the answer is E but dont know how to explain it

If two spheres have equal densities and they are subject only to their mutual gravitational attraction. We need to say that the quantities that must have the same magnitude for both spheres. So, the correct option is (E) i.e. gravitational force.

It is because of Newton's third law of motion. It states that the force due to object 1 to object 2 is same as force due to object 2 to object 1. The two forces act in opposite direction.

Hence, the correct option is (E) "Gravitational force".

xero099 xero099 · Answer 2 · 2021-12-03T18:20:46+01:00

The gravitational force has the same magnitude for both spheres.

By the Newton's law of gravitation and the Newton's third law we understand that gravitational force is directly proportional to the masses of the spheres and inversely proportional to the square of distance between centers, also that gravitational force experimented by one sphere has the same magnitude but opposite direction than the gravitational force experimented by the other sphere.

Therefore, we conclude that gravitational force has the same magnitude for both spheres. (Correct choice E)

To learn more on gravitational forces, we kindly invite to check this verified question: https://brainly.com/question/24783651