List the steps to derive the gravitational field equation from Newton's Laws.
1. $F = G rac{m_1 m_2}{r^2}$ 2. $F = m_1 a$ 3. $m_1 a = G rac{m_1 m_2}{r^2}$ 4. $a = G rac{m_2}{r^2}$ 5. $g = G rac{M}{r^2}$
How do you calculate gravitational force between two masses?
Use Newton's Law of Universal Gravitation: $F = G rac{m_1 m_2}{r^2}$.
How do you calculate gravitational field strength?
Use the formula: $g = G rac{M}{r^2}$.
How to find the acceleration of an object in free fall?
The acceleration is equal to the gravitational field strength, $g$ (approximately 9.8 m/sยฒ near Earth's surface, ignoring air resistance).
What is the first step in deriving the orbital speed of a satellite?
Set the gravitational force equal to the centripetal force.
How to calculate the net gravitational force on an object due to multiple sources?
Calculate the gravitational force due to each source separately, then add them vectorially.
Define Gravitational Force.
The force of attraction between any two objects with mass.
Define Free Fall.
When the only force acting on an object is gravity.
Define Gravitational Field.
A region of space where a mass experiences a gravitational force; a vector field.
What is 'g'?
Gravitational field strength (acceleration due to gravity).
Define Weight.
The gravitational force acting on an object.
What is $G$?
The universal gravitational constant ($6.67 imes 10^{-11} Nm^2/kg^2$).
Differentiate between gravitational force and gravitational field.
Gravitational Force: The force between two masses. Gravitational Field: A region where a mass experiences a force.
Compare mass and weight.
Mass: Amount of matter in an object (scalar). Weight: Gravitational force on an object (vector).
Compare gravitational constant (G) and gravitational acceleration (g).
G: Universal constant, \(6.67 \times 10^{-11} Nm^2/kg^2\). g: Acceleration due to gravity, approximately \(9.8 m/s^2\) on Earth.
