An object of mass M is dropped near the surface of Earth such that the gravitational field provides a constant downward force on the object. Which of the following describes what happens to the center of mass of the object-Earth system as the object falls downward toward Earth? a. It moves toward the center of Earth. b. It moves toward the object.c. It does not move. d. The answer cannot be determined without knowing the mass of Earth and the distance between the object and Earth’s center.

Because the gravitational force is characterized by being an internal force within the Earth-particle system, in this case, the object of mass M. And since in this system there is no external force in the system, it can be concluded that the center of mass of the system will not move.

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onyebuchinnaji onyebuchinnaji · Answer 2 · 2021-12-07T13:41:24+01:00

As the object is dropped at a constant downward force, the center mass of the object-Earth system does not move.

In the absence of an external force, the center mass of the object-Earth system will remain constant as the object fall to the ground.

The force of attraction on the object above the surface of the Earth is given as;

[tex]F = \frac{Gm_1 m_2}{R^2}[/tex]

where;

G is gravitational constant
m is mass
R is the distance of the object from the center of the earth

Thus, as the object is dropped at a constant downward force, the center mass of the object-Earth system does not move.

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