Gravitational Physics Concepts and Definitions

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Match the following concepts with their definitions:

Escape Velocity = The minimum speed needed for an object to break free from a gravitational field Gravitational Potential = The work done per unit mass to bring an object from infinity to a specified point Kepler's Laws = Three laws that describe the motion of planets around the Sun Newton's Law of Gravitation = A law stating that every mass attracts every other mass with a force proportional to the product of their masses

Match the following formulas with their uses:

$v_e = oot{2gR}$ = Calculating escape velocity $g = rac{GM}{r^2}$ = Finding acceleration due to gravity at distance $r$ $U = -rac{GMm}{r}$ = Determining gravitational potential energy $T^2 = rac{4eta^3}{GM}$ = Describing the period of a planet's orbit

Match the following units with their respective quantities:

kg = Mass m/s^2 = Acceleration due to gravity J/kg = Gravitational potential N = Force of gravitational attraction

Match the following types of gravitational acceleration with their conditions:

At Sea Level = Standard value of $g$ as approximately $9.81 ext{ m/s}^2$ At High Altitude = Value of $g$ decreases with increasing altitude At Depth Inside Earth = Value of $g$ decreases as you go deeper On the Moon = Value of $g$ is about $1.6 ext{ m/s}^2$ Signup and view all the answers

Match the following principles with their contributors:

Kepler = Formulated laws of planetary motion Newton = Developed the law of universal gravitation Einstein = Introduced the theory of relativity affecting gravitational fields Cavendish = Conducted experiments to determine the density of the Earth Signup and view all the answers

Match the following statements with the correct physics principle:

If speed of the moon increases by 42% = The moon will no longer orbit the Earth Two masses producing maximum gravitational force = Their distance should be minimized Communication satellite = Remains stationary above a fixed point on Earth Solid sphere falling freely = Acceleration does not depend on mass Signup and view all the answers

Match the following objects with their characteristics in terms of gravitational effects:

Satellite of mass m = Revolves around the Earth in a circular orbit Planet with radius twice that of Earth = Has a linear relationship with two bodies' velocities Body projected with half escape speed = Will rise to a specific altitude before falling back Object on Earth's surface with potential energy = Indicates its height and mass in the gravitational field Signup and view all the answers

Match the following factors with their impact on gravitational acceleration:

Distance from Earth's Center = Inversely affects gravitational force Mass of the object = Does not influence acceleration due to gravity Radius of the planet = Directly relates to gravitational force exerted Density of the planet = Leads to different escape velocities for objects Signup and view all the answers

Match the following velocities with their related concepts:

Minimum speed to escape Earth's gravity = Escape Velocity Velocity of a planet in a circular orbit = Depends on radius and mass ratio Velocity increase on angle projection = Increases likelihood of reaching orbit Velocity of a falling object = Remains constant regardless of shape Signup and view all the answers

Match the following questions with the appropriate physics inclination:

Factors affecting gravitational acceleration = Mass and Distance from the center Calculating momentum of a satellite = Mass times velocity in orbit Graphing acceleration with distance = Shows variability based on Earth's shape Communication satellite positioning = Geostationary above equator Signup and view all the answers

Match the following terms with their relevant equations or concepts:

Gravitational potential at distance r = V = -GM/r Momentum formula for circular motion = p = mv Acceleration due to gravity at latitude = g = g0 * cos(latitude) Max gravitational force relation = F = G(m₁*m₂)/r² Signup and view all the answers

Match the following scenarios with their relevant principles in gravitational physics:

A solid sphere's fall = Inertia only influenced by gravity Gravitational intensity calculation = Based on rod mass and distance Increasing moon's speed = Disruption of its orbit Communication satellite location = Fixed relative to Earth's spin Signup and view all the answers

Escape Velocity

The minimum speed an object needs to escape the gravitational pull of a celestial body and never return.

Acceleration Due to Gravity (g)

The acceleration experienced by an object due to the gravitational force of a celestial body. It is influenced by the body's mass and distance from the center.

Gravitational Potential

The amount of work done per unit mass to move an object from infinity to a specific point in a gravitational field.

Kepler's Laws of Planetary Motion

Laws describing the motion of planets around the Sun. They state that planets move in ellipses, with equal areas swept out in equal times, and the square of the orbital period is proportional to the cube of the semi-major axis.