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Class Notes: Introduction to Gravity

Definition:

Gravity is a force of attraction that exists between any two masses, any two
bodies, any two particles. It is quantitatively described by Newton's law of
gravitation.
Newton's Law of Universal Gravitation:

Every point mass attracts every other point mass by a force acting along the line
intersecting both points. The force is proportional to the product of the two
masses and inversely proportional to the square of the distance between them:

2
F=G
r
2

m
1

m
2

Where:

F is the force between the masses,

G is the gravitational constant (


6.67430
×
1
0

11

m
3

kg

1

s

2
6.67430×10
−11
m
3
kg
−1
s
−2
),

1
m
1

and

2
m
2

are two masses,

r is the distance between the centers of the two masses.


Effects of Gravity:

Tides: Caused by the gravitational pull of the moon (and to a lesser extent, the
sun) on Earth.
Orbital Motion: Planets orbit stars, and moons orbit planets due to gravitational
attraction.
Galactic Movement: Stars within galaxies are held together by gravity. Galaxies can
also gravitate toward one another.
Gravity and General Relativity:

Albert Einstein's theory of general relativity describes gravity as a curvature in


the spacetime fabric caused by mass and energy. Objects move along the curved paths
determined by this geometry, which we perceive as gravitational force.
Gravity on Earth:

Earth's gravitational acceleration, denoted

g, averages approximately
9.81

m/s
2
9.81m/s
2
at the surface. This means objects in free-fall near the Earth's surface
accelerate at this rate due to gravity (ignoring air resistance).
Microgravity:

Often mistakenly called "zero gravity." In environments like the International


Space Station (ISS), objects and astronauts are in continuous free-fall toward
Earth but move forward at such a speed that they keep missing it. This creates a
sensation of weightlessness.
Notable Observations:

Gravitational Lensing: Predicted by Einstein's theory of relativity, massive


objects like galaxies can bend and magnify light from objects behind them.
Gravitational Waves: Ripples in spacetime caused by massive objects accelerating,
like colliding black holes. Detected by LIGO in 2015.

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