Question

in a binary star system, two stars are in orbit around each other. star a has a mass of 2 solar masses, and star b has a mass of 0.5 solar masses. which star experiences a greater gravitational force due to the other star, and why? star b, because it has a smaller mass than star a. star a, because it has a larger mass than star b. both stars experience the same gravitational force due to each other. the gravitational force depends on the distance between the stars, so we need more information to answer the question.

Explanation:

Step1: Recall Newton's law of universal gravitation

The gravitational force between two objects is given by $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational - constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between their centers of mass. In a binary - star system, the force that star A exerts on star B, $F_{AB}=G\frac{m_Am_B}{r^2}$, and the force that star B exerts on star A, $F_{BA}=G\frac{m_Bm_A}{r^2}$.

Step2: Analyze the relationship between the forces

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. The gravitational forces between two stars in a binary system are an action - reaction pair. So $F_{AB}=F_{BA}$.

Answer:

C. Both stars experience the same gravitational force due to each other