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Showing 17 of 17 formulas Page 1 of 1

Universal Gravitation

Physics β†’ Classical Mechanics β†’ Gravitation β†’ Gravity
$$F = G \frac{m_1 m_2}{r^2}$$
Calculates the gravitational attraction between two masses.
πŸ“– Physics πŸ“š Gravitation

Gravitational Force

Physics β†’ Mechanics β†’ Gravitation β†’ Force
$$F = G\frac{m_1 m_2}{r^2}$$
Force between masses
πŸ“– Physics πŸ“š Gravitation

Escape Speed from Earth

Physics β†’ Mechanics β†’ Gravitation β†’ Planetary Motion
$$v = \sqrt{2gr}$$
A simpler form of escape velocity using surface gravity.
πŸ“– Physics πŸ“š Gravitation

Newton's Law of Universal Gravitation

Physics β†’ Classical Mechanics β†’ Gravitation β†’ Universal Gravitation
$$F = G\frac{m_1 m_2}{r^2}$$
Attractive force between two masses is proportional to product of masses and inversely proportional to square of distance.
πŸ“– Physics πŸ“š Gravitation

Escape Velocity (Planetary)

Physics β†’ Mechanics β†’ Gravitation β†’ Planetary Motion
$$v_e = \sqrt{\frac{2GM}{R}}$$
The minimum speed needed for an object to break free from the gravitational attraction of a massive body.
πŸ“– Physics πŸ“š Gravitation

Gravitational Force (Vector Form)

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$\vec{F} = -G \frac{m_1 m_2}{r^2} \hat{r}$$
Newton's universal law of gravitation, including the direction of force (attractive).
πŸ“– Physics πŸ“š Gravitation

Gravitational Potential Energy (Universal)

Physics β†’ Mechanics β†’ Gravitation β†’ Energy
$$U = -\frac{G M m}{r}$$
Work done in bringing a mass from infinity to a point in a gravitational field.
πŸ“– Physics πŸ“š Gravitation

Orbital Velocity

Physics β†’ Mechanics β†’ Gravitation β†’ Satellite Motion
$$v_o = \sqrt{\frac{GM}{r}}$$
Velocity required for a satellite to stay in a circular orbit.
πŸ“– Physics πŸ“š Gravitation

Kepler's Third Law

Physics β†’ Mechanics β†’ Gravitation β†’ Planetary Motion
$$T^2 \propto R^3$$
The square of the time period of a planet is proportional to the cube of the semi-major axis.
πŸ“– Physics πŸ“š Gravitation

Escape Velocity from Earth surface

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$v_e = \sqrt{2gR}$$
Minimum velocity required to escape Earth's gravity.
πŸ“– Physics πŸ“š Gravitation

Variation of g with Altitude

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$g_h = g\left(1 - \frac{2h}{R}\right)$$
How gravity decreases as you move above Earth's surface.
πŸ“– Physics πŸ“š Gravitation

Weight

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$W = mg$$
Force with which Earth attracts an object.
πŸ“– Physics πŸ“š Gravitation

Pressure

Physics β†’ Mechanics β†’ Gravitation β†’ Thrust and Pressure
$$P = \frac{F}{A}$$
Force acting per unit area.
πŸ“– Physics πŸ“š Gravitation

Universal Law of Gravitation

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$F = G \frac{m_1 m_2}{r^2}$$
Force of attraction between two masses.
πŸ“– Physics πŸ“š Gravitation

Buoyant Force (Archimedes)

Physics β†’ Mechanics β†’ Gravitation β†’ Fluids
$$F_b = V \rho g$$
Upward force on an object immersed in a fluid.
πŸ“– Physics πŸ“š Gravitation

Relative Density

Physics β†’ Mechanics β†’ Gravitation β†’ Properties of Matter
$$R.D. = \frac{\rho_{\text{substance}}}{\rho_{\text{water}}}$$
Ratio of density of a substance to the density of water.
πŸ“– Physics πŸ“š Gravitation

Acceleration due to Gravity

Physics β†’ Mechanics β†’ Gravitation β†’ Free Fall
$$g = \frac{G M}{R^2}$$
The acceleration experienced by an object falling freely near a planet's surface.
πŸ“– Physics πŸ“š Gravitation
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