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Chapter 3
Newton’s 2nd law2nd – an object
accelerates in the direction of the net force acting upon it
A= net force/Mass
a= Fnet/m
A force on an object is equal to the change in momentum of the object
Force = mass * accel.
F=m*a
Practice Your push your
friends trike with a force of 150N, his mass is 35kg the trikes is 15kg, what is the acceleration?
150N/50kg= 3m/s/s
FrictionFriction is the force
that opposes motion between two opposing surfaces
Friction always acts against motion
Causes of friction – unsmooth surface, deformations, molecular attraction
2 types of frictionStatic friction –
force of a resting object
Sliding or Kinetic friction - force on a moving object
Microwelds- deformations that hold cause static friction
Ever notice how it takes more force to get an object moving
Air resistanceWhen drag is equal
to weight, there is no net external force on the object.
The object then falls at a constant velocity as described by Newton's first law of motion.
The constant velocity is called the terminal velocity.
This is due to the air resistance – Friction force caused when objects fall through air
Dependant upon the speed, shape, mass, and size of the object, and the density of the air.
Stuff fallshttp://www.youtube.
com/watch?v=5C5_dOEyAfk
http://nssdc.gsfc.nasa.gov/planetary/image/featherdrop_sound.mov
All objects near the surface of the earth accelerate at a rate of 9.8m/s/s
Objects of different masses will fall at the same rate regardless of their mass
Gravitational accelertionMore force acts upon
a more massive object, but its larger mass requires more force to accelerate.
There is a myth about Galileo dropping canon balls off the leaning tower of Pisa to prove this.
Gravitational accelerationVelocity of a freefalling object can be found
with the formula v= g*tWhere gravities acceleration is 9.8m/s/s
How can you find falling distanceD= ½ g *t2
CentripetalCentripetal
acceleration: acceleration toward the center of a curved path
Centripetal means center seeking- it is merely a net force
Centripetal ex.
As a car makes a turn, the force of friction acting upon the turned wheels of the car provide the centripetal force required for circular motion.
As a bucket of water is tied to a string and spun in a circle, the force of tension acting upon the bucket provides the centripetal force required for circular motion
As the moon orbits the Earth, the force of gravity acting upon the moon provides the centripetal force required for circular motion – p.s. the moon is a banana
WeightWeight – The
measure of the force of gravity on a body.
On earth your weight in Newtons (N) is equal to your mass in kg times gravity’s acceleration (9.8m/s2)
W= m * g
WeightlessnessWeightlessness is sensation experienced
when there are no external objects touching one's body and exerting a push or pull
Astronauts on the orbiting space shuttle are weightless because..
a. there is no gravity in space and they do not weigh anything.
b. space is a vacuum and there is no gravity in a vacuum.
c. space is a vacuum and there is no air resistance in a vacuum.
d. the astronauts are far from earth's surface at a location where gravitation has a minimal effect.
Freefallin’Orbit is a state of
constant freefall – the Earth’s surface is falling away at the same rate of orbit
400 km above the earth's surface, the the value of g will have been reduced from 9.8 m/s/s (at earth's surface) to approximately 8.7 m/s/s. About 10% less than the surface
Projectile motionProjectile motion:
Anything that has horizontal motion is a projectile
Horizontal and vertical motion act independently of one another-
Projectiles follow a path called a trajectory
So a bullet dropped and a bullet fired from the same height will hit the ground at the same time.
Newton’s 3rd lawFor every action
(force) in nature there is an equal and opposite reaction.
Force pairs: Action and reaction forces do not act on the same object.
What would happen if they did?
Many reaction forces are not noticed due to other forces or smaller accelerations.Introduction to Rocket Performance - Level 3 - Jump Animation
MomentumMomentum:
property of a moving object based on its velocity and mass.
p = mvkg x m/s – label
Momentum is conservedLaw of
Conservation of Momentum: Momentum may be exchanged but the total amount of momentum remains the same.
In a game of pool where is the momentum lost
PracticeA scooter and a big
red truck, both moving at 20m/s. Which has more momentum.
Mass of red truck 3000kg
Mass of scooter 8kgMomentum of
truck:of Scooter:
Force and momentumObjects with
momentum can apply force to other objects when they strike each other
F=mvf – mvi/t
This is a formula combining the 2nd and 3rd laws
A baseball strikes your glove with a velocity of 49m/s, its mass is .145kg. The ball comes to a stop in .05s. What force is applied?
Artificial Satellite vs. Natural SatelliteSputnik: 1957
Russian (October 4th) “Fellow Traveler or Satellite”
What do we use satellites for?
Weather TV Communications
Science and Research
SatellitesHow many satellites
currently orbit the earth?
Geosynchronous Satellites: Orbital speed matches the earth’s rotation
Where? 35,790 km above the equator.
International Space Station: 390 km