Force and Translational Dynamics

Imagine you are in a spaceship far from any gravitational influences, accelerating at $9.8 \frac{m}{s^2}$. According to the equivalence principle, what would you observe?

The gravitational force between two objects is $3.0 \times 10^{-8} N$ . What will the gravitational force become if the distance between the objects is increased by a factor of three?

An object with a mass of 10 kg experiences a gravitational force of 50 N at a certain location. What is the gravitational field strength at that location?

Which of the following statements correctly distinguishes between mass and weight?

What are the units of gravitational field strength ($g$)?

Two masses, $m_1$ and $m_2$, are placed at points A and B respectively. The gravitational field at a point P due to $m_1$ is $g_1$ and due to $m_2$ is $g_2$. If $g_1$ and $g_2$ are equal in magnitude and opposite in direction, what is the net gravitational field at point P?

An object of mass $m$ is located a distance $r$ from the center of a planet with mass $M$. What happens to the object's weight if the distance from the center of the planet is doubled?

Which of the following scenarios best illustrates the equivalence principle?

Two objects, each with mass $m$, are separated by a distance $r$. If the mass of each object is doubled, what happens to the gravitational force between them?

Three identical masses ($m$) are placed along a straight line with equal separation ($r$) between adjacent masses. What is the magnitude of the net gravitational force on the central mass due to the other two?