3.1.1 Newton’s Law of Universal Gravity

A satellite experiences a gravitational pull, W, while on Earth’s surface. What is the force acting on it when it is placed in an orbit at a height 3R from Earth’s surface, where R is Earth’s radius?

The initial gravitational force between two masses was 120N at a distance of 20m. If the gravitational force changes to 480N, what is the new distance separating them?

What occurs to the gravitational force between two particles if the distance separating them is increased two-fold?

Given that the gravitational interaction between two identical masses, M, separated by \(r\), is expressed as \(\frac{G M^2}{r^2}\) and the gravitational interaction between two masses, \(M\) and \(3 M\), separated by \(2 r\), is \(k \frac{G M^2}{r^2}\). What is the value of k?

The diagram shows two satellites A and B of equal mass orbiting a planet, how does the gravitational force between A and the planet compare to that between B and the planet? 

If an astronaut has a weight of 720N on Earth’s surface, what would be his weight R meter above the Earth, where R is Earth’s radius?

If two celestial bodies have masses 1.5×10²⁶ kg and 5.0×10²³ kg, separated by 3.2×10¹⁰ m, what\’s the gravitational force between them? (Given G=6.67×10⁻¹¹ Nm²/kg²)

When the mass of two objects is doubled but their separation remains the same, by how much does their gravitational force alter?

When the Earth pulls the Moon with a gravitational force of 2×10²⁰ N, what force does the Moon exert on the Earth?

How does the gravitational force, F, vary with r, the separation between two planets?

When a spacecraft takes off from Earth, which graph depicts the gravitational force F on the spacecraft as its distance r from Earth augments?