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.

true A and C

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.

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.