Force and Translational Dynamics

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?

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?

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?

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

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?

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?

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

An object has a mass of 20 kg on Earth, where $g = 9.8 \frac{m}{s^2}$. What would be its weight on a planet where the gravitational acceleration is $3.7 \frac{m}{s^2}$?

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?

A person with a mass of 70 kg is standing in an elevator that is accelerating upwards at a rate of $2 \frac{m}{s^2}$. What is the apparent weight of the person?