Chapter 1   Physics of the Earth

MOSTLY NOT IN TEXTBOOK

Physics - Basic Terms

Mass

Density

Weight

Metric system:

   meter-kilogram-second    centimeter-gram-second

Orders of magnitude:

   meter – millimeter, centimeter, kilometer, etc.

Velocity  R = D/T

Speed

Acceleration  mph/sec   m/sec2 = (m/sec)/sec

Force     F=ma    mass * acceleration

Inertia   = mass * velocity

 

Newton’s second law of motion   F=ma

Proportional versus inversely proportional

Newton – an unit of force

Measurement of mass

Gravity law -  F = G (m1*m2 / s 2)

Acceleration due to gravity (g)

Beam balance

Spring balance

Newton’s second law of motion   F=ma

Proportional versus inversely proportional

Newton – an unit of force

Measurement of mass

Gravity law -  F = G (m1*m2 / s 2)

Acceleration due to gravity (g)

Beam balance

Spring balance

 

Mass  (concept)

Mass =  amount of matter an object contains

Mass of the Earth = 5.96 x 1024 kg 

          (on earth 1 lb = 0.454 kg, but remember, lb is a weight term)

 

Mass is Independent of:

·         Temperature

·         Pressure

·         Location

Number and mass of atoms in an object

          different number of protons and neutrons in the nucleus

  (nucleus has 99.99% of mass of the atom)

Mass and weight

Weight is relative to gravity

Would you have the same mass on the moon?

     On Jupiter?

     In interstellar space?

Would your weight change?

Density (concept)

Density = Mass / Volume

Units are grams per cubic centimeter (g / cm3)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Ice =  0.917 g/cm3

Water = 1.0 g/cm3-  Remember this one

Iron = 7.86 g/cm3

Gold = 19.3 g/cm3

 

The metric system links measurement of volume and mass:  by definition, one cm3 of pure water (at a specific temperature and pressure) has a mass of 1.0 gram

 

Comparing the density of objects:  float or sink in a fluid, depending upon the relative density

            ** Buoyancy – upward force of a lower-density object **

 

Density-driven circulation in fluids on Earth:

                Atmosphere

                Oceans

                Mantle

 

D = M / V  or rearrange to M = D * V

*** Check to see if units work ***

 

Force (concept)

A Push or Pull   (with or without  motion & contact)

 

Inertia or Momentum (concept)

The Resistance of an object to:

- change in direction    or

- its state of rest

 

An object at rest will remain at rest…

 

An object in motion will remain in

  motion at a constant velocity…

 

unless:  …acted upon by some force

 

Speed and velocity

Speed is how fast an object is moving

 

R = D/T    rate = distance / time

 

miles per hour      meters per second

 

Rearrange:   D = R*T     T = D/R

    *** remember the units ***

Velocity has both speed and direction

 

Newton’s Second Law of Motion

Force = Mass * Acceleration     [F = MA]   or A = F / M

How are force and mass related to acceleration?

1. Acceleration is proportional to force   

if mass is constant,

  as force increases, acceleration increases

            as force decreases, acceleration decreases

 

2. Acceleration is inversely proportional to mass

          if force is constant,

            as mass increases, acceleration decreases

            as mass decreases, acceleration increases

 

Velocity is a vector, with components of speed and direction

 

V (velocity) = change in D (distance) / change in T (time)

          Units:  meters/sec    miles/hour

 

Acceleration means changing velocity

          Either positive (increasing) or negative (decreasing)

 

A (acceleration) = change in V (velocity) / change in T (time)

          Units:  meters / sec2

                   but think of this as  meters / sec   per second

 

Acceleration by the force of gravity on Earth = 9.81 m/sec per second

          idea of terminal velocity – when wind resistance = downward force

 

Force = mass * acceleration

          units:  kg * m/sec2 , which is one Newton

          weight is really a force (not simply mass)

 

Force – equal and opposite

          A force must be applied to move the car forward,

            but a force also must be exerted in the opposite direction

  (wheels pushing against the pavement)

 

Gravity

 

          F = G  M1 * M2  / S2

 

          F = force of gravity

G = gravitational constant (6*10-11)   0.00000000006 (very small)

M1 = mass of body 1

M2 = mass of body 2

S2 = distance between M1 & M2 squared

 

Comparing gravitational force:

 

Masses constant, but the distance increases – force decreases exponentially

          this is the idea of a “gravitational well”

 

Distance constant, but mass of the two objects increases

 

Beam balance and weight

          measure the unknown mass against a standard mass

          works everywhere – the standard mass does not change

 

Spring balance – the measured value is affected by gravity,

which varies at different places on Earth (and elsewhere)

 

For example, as distance from the center of Earth increases,

          the gravitational force decreases

 

Kinetic Energy

          the amount of energy in a moving object   EK = ½ M V2

          importance of that squared velocity term

 

Potential Energy

          the amount of energy stored in an object

 

          Gravitational PE

            Chemical PE

              Electrical PE

                Elastic PE

 

Density and Buoyancy

          demonstration of balloons filled with hydrogen and helium (go up)

            compared with SF6  CO2  O2  N2  (go down)

 

Gravity and the Earth

          rotates west to east (Sun rises in the east)

          velocity greatest at the Equator, zero at the poles (spins in place)

          centrifugal force creates bulge at the Equator

                   (this effect is most notable in images of Jupiter and Saturn)

 

How to calculate the curvature of the Earth

          measure angle to a star (fixed point at a distance)

              known by at least 400 BC (contrary to myth)

          watch a ship disappear over the horizon

 

Eratosthenes (276-196 BC) 

Greek mathematician at the Library of Alexandria (Egypt)

measured / calculated the circumference of Earth to ~ 2%