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"To the dull mind all nature is leaden. To the illumined mind the whole world burns and sparkles with light." -- Ralph Waldo Emerson

Acceleration and Momentum


 

Accelerated motion

Concept Pages:

Physical Science "Key Concepts" Home Page

 

Links:  Physics For Beginners
Learn Physics with Comics

Section Review questions
Chapter review questions

Objectives

 

 

• Explain how force, mass, and acceleration are related

• Compare the rates at which objects fall

• Observe the effects of air resistance

Newton's Second Law of Motion

• A net force acting on an object causes that object to accelerate in the direction of the force.
 

More commonly expressed by the formula:

Force= mass x acceleration

or    F = ma

You may prefer to think of it as
a = F/m :
acceleration directly proportional to force, indirectly proportional to mass.
 

• Mass is in kilograms (kg)

• Acceleration is in m/s2

So

• Force is expressed as:

kg • m/s2

• How is this related to the Newton?

1N = 1kg m/s2

Acceleration due to Gravity

Remember:

F = ma
• And weight is a measure of the force of gravity
Acceleration due to Gravity on Earth is 9.8 m/s2
So weight is    W = m x 9.8 m/s2
 

And so             1kg = 9.8N

Air Resistance
• Force exerted by air on a moving object:

- similar to friction

• varies according to the size/mass ratio of the object

 

Terminal Velocity

• Refers to the highest speed a falling object will get to - it will vary as air resistance varies, according to the size/mass ratio of the object.
 

Projectile and Circular Motion

Objectives

• Explain why things that are thrown or shot follow a curved path

• Compare motion in a straight line to motion that is circular

• Define weightlessness

Projectiles
Something that's thrown or shot through the air.

- Both horizontal and vertical velocities

- Curved path results

Horizontal motion
- initially parallel to the pull of gravity:
e.g. - when you throw a ball
Vertical velocity
- due to the pull of gravity

 

Motion around curves
Change in velocity includes change in direction
Centripetal Acceleration
acceleration toward the "center of a circle"
Centripetal Force
The force acting on an object that is toward the "center of the circle"

- often the result of friction (tires on the road)

Weightlessness
Weight is a measure of the pull of gravity - if object is not feeling the net force of gravity, it is essentially weightless.
Freefall
Term applied to a skydiver before deploying parachute.

Imagine that skydiver with a bathroom-type scale on the bottom of his feet (a little weird, but we're doing an experiment here, okay?!)

- Imagine, also, that the skydiver is vertical, as if standing.

- Ignore, for the moment, any effect of air pressure.

Would the scale register any weight?

• The situation is essentially the same with the astronauts in the Space Shuttle.

- They are in freefall all the time they are in orbit.

Why don't they fall to the ground?

 

Isaac Newton

actually visualized that the moon was falling, but that the speed of its orbit, with the speed of the Earth in its orbit, coupled to keep the moon forever falling around the Earth.
Effects of weightlessness
 

    • Bone and muscle deterioration

    • Frequent and even constant back pain

Remedies -

    • Exercise programs are rigorous and not entirely satisfactory.

Satellites

Objectives

• Explain how satellites are placed into orbit

• Give examples of uses for satellites

A Satellite
• is a body that orbits another
 

An Artificial Satellite

• is a man-made device that orbits the earth or, increasingly, another planet, or the sun.
 

Launching artificial satellites into orbit takes a rocket that is capable of attaining "escape velocity"

- once out of the earth's atmosphere, they are boosted to a high enough speed to stay in orbit

 

Typical shuttle orbits are 150 to 300 miles above the surface

Geostationary orbits are ~ 22,500 miles up

Satellite uses include:

• communications

• weather

• military surveillance

• GPS - Global Positioning System

Falling Satellites
- occasionally satellites fall back into Earth's atmosphere, and usually burn up.
 

Action/Reaction Forces

Objectives

• Analyze action and reaction forces

• Calculate momentum

• Explain conservation of momentum

 

Newton's Third Law of Motion

• To every action there is an equal and opposite reaction.

>>>> Forces always act in pairs <<<<

 

• Many applications -

-rockets, jets

-skateboards

-boat motors

• Rocket propulsion in the vacuum of space depends entirely on the physical law this describes, because:
in space there is no air to push against

 

Could a propeller-driven airplane work in space?

 

MOMENTUM

 

Momentum= mass x velocity
(book uses p = m x v )

Does this remind you of Inertia?

- how?

• Expressed by the unit:         kg • m/s (kilogram-meters per second)
 

- In what instance could a bullet and a truck have the same momentum?

 

The Conservation of Momentum

 

The Law of Conservation of Momentum
States that the total momentum does not change unless an outside force acts on an object or objects.

 

- e.g. the "break" at the beginning of a game of billiards:

-why do the back balls move as soon as the front ones do?

 

Many sports applications

Updated 10/14/07