Introduction Who is the audience? 8 th grade Physical Science Objective This project will allow...
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Transcript of Introduction Who is the audience? 8 th grade Physical Science Objective This project will allow...
IntroductionIntroduction
Who is the audience?Who is the audience?88thth grade Physical Science grade Physical Science
ObjectiveObjectiveThis project will allow students to learn to solve logic This project will allow students to learn to solve logic and mathematical problems involving motion and forces and mathematical problems involving motion and forces
in an electronic environment.in an electronic environment.
Motion and ForcesMotion and Forces
MotionMotion is defined as the change in position of an object. is defined as the change in position of an object.
Question:Question: If an object is observed to be in the same position two distinctly different times, do you know enough to determine whether it was in motion at any point during this time?
YES
NO
Motion and ForcesMotion and Forces
MotionMotion is defined as the change in position of an object. is defined as the change in position of an object.
Question:Question: If an object is observed to be in If an object is observed to be in the same position two distinctly the same position two distinctly different times, do you know different times, do you know enough to determine whether it enough to determine whether it was in motion at any point during was in motion at any point during this time?this time?
Incorrect!Incorrect!
Motion and ForcesMotion and ForcesMotionMotion is defined as the change in position of an object. is defined as the change in position of an object.
Question:: If an object is observed to be in the same position two distinctly different times, do you know enough to determine whether it was in motion at any point during this time?
Correct!Correct!
Motion and ForcesMotion and Forces
Motion is measured through the quantities of Speed, Velocity, and Acceleration.
Motion and ForcesMotion and ForcesSpeedSpeed
measurement of how fast position changes. The units of measurement for Speed are meters per second, or m/s. Speed is a scalar quantity, or a quantity with just magnitude or size.
VelocityVelocity
measurement of how fast position changes in a specific direction. The units of measurement for velocity are meters per second East, North, up, down, left, etc., or m/s East. Also, direction can be noted with the use of an arrow ( ). Velocity is a vector quantity, a quantity with both magnitude and direction.
AccelerationAccelerationmeasurement of how fast velocity changes. The unit of measurement for acceleration is the meter per second per second, or m/s2. Acceleration is also a vector quantity though not represented by an arrow or direction per se, rather as a positive (+) or negative (-) acceleration.
Motion and ForcesMotion and ForcesMathematically, speed is the quotient of distance over time, or
S = d/t
In the animation below, the “mouse-surfer” travels an approximate distance of 23 centimeters in five seconds. So, applying the formula above we determine the surfer to have a speed of 4.6 cm/s.
S = d/t = 23 cm/5 s = 4.6 cm/s
23 centimeters
Motion and ForcesMotion and Forces
Solve:A wheelchair racer completes a 100-meter course in twenty seconds. What is her speed?
a)5 m/sa)5 m/sb)10 m/sb)10 m/sc)15 m/sc)15 m/sd)20 m/sd)20 m/s
Motion and ForcesMotion and Forces
Solve:A wheelchair racer completes a 100-meter course in twenty seconds. What is her speed?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve:A wheelchair racer completes a 100-meter course in twenty seconds. What is her speed?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve:A wheelchair racer completes a 100-meter course in twenty seconds. What is her speed?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve:A wheelchair racer completes a 100-meter course in twenty seconds. What is her speed?
Correct!Correct!
Motion and ForcesMotion and ForcesMathematically, velocity is similar to speed. However, you must denote the
direction of travel for the object in question
v = d/tv = d/t, ,
In the animation below, the “mouse-surfer” travels an approximate distance of 23 centimeters in five seconds. So, applying the formula above we determine the surfer to have a speed of 4.6 cm/s . The length of the arrow is proportional to the magnitude of the velocity. A greater velocity would result in a larger arrow, a lesser velocity would result in a smaller arrow.
23 centimeters
Motion and ForcesMotion and Forces
Solve:A wheelchair racer travelling North completes a 100-meter course in twenty seconds. What is her speed?
a)5 m/sa)5 m/sb)5 m/s, Eastb)5 m/s, Eastc)5 m/s, Southc)5 m/s, Southd)5 m/s, Northd)5 m/s, North
Motion and ForcesMotion and Forces
Solve:A wheelchair racer travelling North completes a 100-meter course in twenty seconds. What is her speed?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve:A wheelchair racer travelling North completes a 100-meter course in twenty seconds. What is her speed?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve:A wheelchair racer travelling North completes a 100-meter course in twenty seconds. What is her speed?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve:A wheelchair racer travelling North completes a 100-meter course in twenty seconds. What is her speed?
Correct!Correct!
Motion and ForcesMotion and ForcesMathematically, acceleration is the quotient of the change in velocity and the
change in time.
a = ∆v / ∆t
= (vf – vi) / (tf – ti) = (final velocity – initial velocity)/(final time – initial time)
A change in velocity denotes a change in speed, a change in direction, or a change in both speed and direction.
For instance, a car accelerating from rest to 15 m/s over five seconds is an example of an accelerating object. Also, a car maintaining a constant speed, say 5 m/s, while driving around a circular track is also an example of an accelerating object. Finally, a car reducing speed while rounding a corner and increasing speed out of the corner is also an example of an accelerating object.
Motion and ForcesMotion and Forces
Solve: Solve: A cheetah can go from 0 m/s, rest, to A cheetah can go from 0 m/s, rest, to 20 m/s in 2 seconds. What is 20 m/s in 2 seconds. What is
the the cheetah’s acceleration?cheetah’s acceleration?
a)- 10 m/sa)- 10 m/s22
b)10 m/sb)10 m/s22
c)- 40 m/sc)- 40 m/s22
d) 40 m/sd) 40 m/s22
Motion and ForcesMotion and Forces
Solve: Solve: A cheetah can go from 0 m/s, rest, to A cheetah can go from 0 m/s, rest, to 20 m/s in 2 seconds. What is 20 m/s in 2 seconds. What is
the the cheetah’s acceleration?cheetah’s acceleration?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve: Solve: A cheetah can go from 0 m/s, rest, to A cheetah can go from 0 m/s, rest, to 20 m/s in 2 seconds. What is 20 m/s in 2 seconds. What is
the the cheetah’s acceleration?cheetah’s acceleration?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve: Solve: A cheetah can go from 0 m/s, rest, to A cheetah can go from 0 m/s, rest, to 20 m/s in 2 seconds. What is 20 m/s in 2 seconds. What is
the the cheetah’s acceleration?cheetah’s acceleration?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Solve: Solve: A cheetah can go from 0 m/s, rest, to A cheetah can go from 0 m/s, rest, to 20 m/s in 2 seconds. What is 20 m/s in 2 seconds. What is
the the cheetah’s acceleration?cheetah’s acceleration?
Correct!Correct!
Motion and ForcesMotion and ForcesA force is simply a push or a pull. Forces cause a change in motion.
The unit of measurement for force is the Newton (N).
One Newton of force causes a 1-kg mass to accelerate 1 m/s2.
1 N = 1 (kg1 N = 1 (kg..m)/sm)/s22
Additionally, forces are vectors, which means they have magnitude and direction. The size of the vector is proportional to the magnitude of the force.
Forces include such physical quantities as magnetism, electricity, gravity, friction, lift, and thrust.
Motion and ForcesMotion and Forces
Question:Question: An object is observed to be at rest. An object is observed to be at rest. Moments later the object is observed Moments later the object is observed
to be to be moving away from you, the observer. moving away from you, the observer. Has Has there been a force applied to the there been a force applied to the object to object to cause its motion?cause its motion?
Yes
No
Motion and ForcesMotion and Forces
Question:Question: An object is observed to be at rest. An object is observed to be at rest. Moments later the object is observed Moments later the object is observed
to be to be moving away from you, the observer. moving away from you, the observer. Has Has there been a force applied to the there been a force applied to the object to object to cause its motion?cause its motion?
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Question:Question: An object is observed to be at rest. An object is observed to be at rest. Moments later the object is observed Moments later the object is observed
to be to be moving away from you, the observer. moving away from you, the observer. Has Has there been a force applied to the there been a force applied to the object to object to cause its motion?cause its motion?
Correct! If an object is in motion it has
been acted on by a force.
Motion and ForcesMotion and ForcesWhen a force is applied to a mass, the motion of the mass has
changed.
Newton’s 1st Law: An object in straight-line motion, or at rest, will remain in straight-line, or at rest, until acted upon by unbalanced outside forces.
Inertia is another way of stating Newton’s 1st Law. The inertia of an object is the object’s resistance to a change in motion. Inertia is strictly dependent on the mass of the object.
The more massive an object, the more difficult that object is to move. Therefore, the object has
more inertia than a lighter object and will require a greater force to change its motion.
Motion and ForcesMotion and Forces
Question: Which has more inertia, a 747 jumbo-jet at rest before taxiing to the runway, or a motorcycle travelling 44 meters per second.
Jumbo-jet
Motorcycle
Motion and ForcesMotion and Forces
Incorrect!Incorrect!
Motion and ForcesMotion and Forces
Correct!Correct!
A jumbo-jet has more mass than a
motorcycle, therefore more
inertia. The speed of the motorcycle is not important until
we discuss momentum
Motion and ForcesMotion and ForcesForce and mass determine acceleration.
Newton’s 2nd Law: The acceleration of an object increases with increased force and decreases with increased mass.
FF = maa
Motion and ForcesMotion and Forces
Question: According to Newton’s 2nd Law, in order to increase the acceleration of an object you must
Increase force on the object, or decrease mass of object
Decrease force on the object, or increase mass of object
Motion and ForcesMotion and Forces
Question: According to Newton’s 2nd Law, in order to increase the acceleration of an object you must
Incorrect!
Increased mass of the object or
decreased force by the person would
result in an unfortunate
circumstance.
Motion and ForcesMotion and Forces
Question: According to Newton’s 2nd Law, in order to increase the acceleration of an object you must
Correct!
Increased force by the person or decreased mass of the object would yield good results. The rock moves and the person remains alive
Motion and ForcesMotion and ForcesForces act in pairs.
Newton’s 3Newton’s 3rdrd Law: Law: When one object exerts a force on another object, the second object exerts a force equal in magnitude and opposite in direction on the first object.
ActionAction ++ ReactionReaction
Interaction
Motion and ForcesMotion and Forces
Question: According to Newton’s 3According to Newton’s 3rdrd Law, an action Law, an action
force and its force and its reaction force arereaction force are
Equal in magnitude and opposite in direction
Equal in size and direction
Motion and ForcesMotion and Forces
Question: According to Newton’s 3According to Newton’s 3rdrd Law, an action Law, an action
force and its force and its reaction force arereaction force are
IncorrectIncorrect!!
Motion and ForcesMotion and Forces
The action-reaction pairsare equal in size and oppositein direction. The two yellow vectors are equal in magnitudeto the red arrow, but opposite in direction. Otherwise, the jack would accelerate throughthe car, or the car would come crashing down on the mechanic.
Correct!Correct!
Question: According to Newton’s 3According to Newton’s 3rdrd Law, an action Law, an action
force and its force and its reaction force arereaction force are
Motion and ForcesMotion and Forces
You’ve completed
your lesson on motion and
forces. Congratulations on a job well-
done!
Created by Rich Edelen, March 2009 Michigan State University
Masters Certificate in Educational Technology