In recent years, scientists have discovered hundreds of planets orbiting other stars. some of these planets are in orbits that are similar to that of ear, which orbits the sun (msun = 1.99 x 10^30 kg) at a distance of 1.50 x 10^11 m, called 1 astronomical unit (1 au). others have extreme orbits that are much different from anything in our solar system. the following problems relates to one of these planets that follows circular orbit around its star. wasp-32b orbits with a period of only 2.7 days a star with a star with a mass that is 1.1 times that of the sun. how many au from the star is this planet? assume the orbital period of earth is 365 days.

0.03906 Au

Explanation:

T = Time period

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

M = Mass of planet

From Kepler's third law

The distance between the star and the planet is 0.03906 Au.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.