Question

According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other. Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star. Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B. Which of the following statements is true about the planets? A. Planet A has a longer year than Planet B. B. Planet B is more attracted to its star than Planet A. C. Planet A orbits its star faster than Planet B. D. Planet B will keep orbiting its star longer than Planet A.

Answer 1

The correct answer is C. Since Planet A is closer to the star due to the star’s strong gravitational force, it will orbit its star faster than Planet B will.

Step-by-step explanation:

:)

Answer 2

true A and C

Step-by-step explanation:

Let's use Newton's second law

F = m a

a = v² / r

F = G m M / r²

We replace

G m M / r² = m v²/ r

G M / r = v²

The speed module is

v = 2π r / T

Where T is the period

G M / r = 4π² r² / T²

T² = (4π²/ GM) r³

Since the radius of the orbit is the same for the two planets, as the mass of the star increases, the period decreases

Let's examine the claims

A) True. Paneta A's period is longer than planet B's with a less massive star

B) False. The mass of star B is less

C) True. The velocity of the plant is proportional to the square root of the star's mass.

D) False. The two planets will orbit the star indefinitely.