Select the correct words to fill in the blanks to this sentence: As a planet draws away from the sun in its orbit, the force between the sun and the planet. and the planet's speed.
O increases, increases
O increases, decreases
O decreases, decreases
O decreases, increases .
As a planet draws away from the sun in its orbit, the force between the sun and the planet decreases and the planet's speed decreases.
The correct words to fill in the blanks are: decreases, decreases.
To determine the correct words to fill in the blanks, we need to understand the relationship between the force between the sun and the planet and the planet's speed as the planet moves away from the sun in its orbit.
According to Newton's law of universal gravitation, the force between two objects depends on their masses and the distance between them:
F ∝ (m1 * m2) / r^2
Where F is the force, m1 and m2 are the masses of the two objects, and r is the distance between them.
As the planet moves away from the sun, the distance (r) between them increases. Since the force is inversely proportional to the square of the distance, as the distance increases, the force between the sun and the planet decreases.
Now let's consider the planet's speed. In an elliptical orbit, as a planet moves away from the sun, it slows down. This is because gravitational force acts as a centripetal force that keeps the planet in its orbit. As the distance between the sun and the planet increases, the gravitational force decreases, causing the planet's speed to decrease.
Therefore, the correct words to fill in the blanks are:
decreases, decreases