Help fast please!!!!! A new solar system with two planets of equal mass - Planet X and Planet Y - is discovered. Planet X is closest to the sun. What is the sun's gravitational pull on Planet Y as compared with Planet X? A. Because Planet Y is farther from the sun, the sun's gravitational pull on Planet Y is less than the sun's gravitational pull on Planet X. B. The sun's gravity repels Planet Y with more force than it repels Planet X, which is why Planet Y is farther away.
C. Because Planet Y is farther from the sun, the sun's gravitational pull on Planet Y is more than the sun's gravitational pull on Planet X. D. The sun's gravitational pull on Planet Y is equal to its gravitational pull on Planet X because distance does not affect the sun's gravity.
Which do you think it is?
A.
@LifeEngineer
That seems reasonable to me! If we take a look at Newton's law of Universal Gravitation: \[F=G\frac{m_1 m_2}{r^2}\] We can see that the gravitational force F exerted between any two bodies is equal to the product of the mass of each of the bodies divided by the radius, or distance between the two, squared times some constant multiplier G (the gravitational constant)
Knowing that the mass of each planet is the same, we can disregard this portion. G is a constant so it's always the same. The only variable in this case is r, the distance from the sun to each planet. If r gets bigger, you divide by a bigger number, and your resulting force gets smaller!
Awesome. Thank you! Could you help me with another?
A.
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