A planet travels in an elliptical path around a star, as shown in the figure. As the planet gets closer to the star, the gravitational force that the star exerts on the planet increases. Which statement of reasoning best supports and correctly identifies what happens to the magnitude of the force that the planet exerts on the star as the planet gets closer to the star?

The force remains constant because the mass of the planet remains constant.
A

The force increases because it is part of a Newton’s third law pair of forces with the force that the star exerts on the planet.
B

The force decreases because the planet increases its speed as it gets closer to the star.
C

The force fluctuates such that it increases and decreases because the planet does not travel in a perfectly circular path.

A planet travels in an elliptical path around a star as shown in the figure As the planet gets closer to the star the gravitational force that the star exerts o class=

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Answer:

The force increases because it is part of a Newton’s third law pair of forces with the force that the star exerts on the planet.

Explanation:

Force between two objects can be expressed by an equation:

F = G • m1 • m2 / r^2,

where m1 and m2 are objects' masses, r is the distance between them, and G is a gravitational constant.

That means that greater the masses or lesser the distance, the force will be greater, and vice versa.

This force exists between any two objects, but is generally extremely weak, so it's best observed with big and large objects with great mass, such as planets and stars.

This force, whatever its magnitude may be, always works on both objects, following the third Newton's law.

So, whatever the force the stat exerts on the planet is, the planet will exert the same amount of force on the star.

B. The force increases because it is part of a Newton’s third law pair of forces with the force that the star exerts on the planet.

  • Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction.
  • Force between two objects can be expressed by an equation:

[tex]F = \frac{G*m_1*m_2}{r^2}[/tex]

where m₁ and m₂ are objects masses, r is the distance between them, and G is a gravitational constant.

From this we can infer that:

  • That means that greater the masses or lesser the distance, the force will be greater, and vice versa.
  • This force exists between any two objects, but is generally extremely weak, so it's best observed with big and large objects with great mass, such as planets and stars.  

The magnitude of force that the planet exerts on the star as the planet gets closer to the star will increases.

Thus, option B is correct.

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