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Learn about the concepts of speed, velocity, and acceleration, as well as the laws of motion and forces. Includes practice problems and illustrations.
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Speed, Velocity, & Acceleration • What is Speed? • Scalar Quantity (only have magnitude) • How fast something is moving • Distance traveled over time • No direction • Average speed is not instantaneous speed
Speed, Velocity, & Acceleration • Distance • Overall amount traveled
Speed, Velocity, & Acceleration • Units of speed are derived units of distance over time • Speed (meters/second) = distance (meters) /time (seconds)
Let’s Practice!!!! • In a skateboarding marathon, the winner covered 435 km in 36.75 h. What was the winner’s average speed? • Florence Griffith Joyner set a world record by running 200 m 21.34 s. What was her average speed? • An airplane is traveling at 400 mi/hr. It touches down at an airport 2000 mi away. How long was the plane airborne?
Speed, Velocity, & Acceleration • d/t graphs – X-axis = time – Y-axis = distance (position) • Speed on distance-time graphs – Think slope of line: check it out • Analyzing distance vs time graphs • ***Figure 7 in book***
Speed, Velocity, & Acceleration What was the object’s speed at 2 s? What was the object’s speed at 5 s? How would describe the motion of this car? What might you predict the next plot point to be?
Speed, Velocity, & Acceleration What was the object’s speed at 2 s? The object stopped during this time frame. When did this happen? Explain how you know. What happened between 9.8 s and 12 s? How do you know?
Speed, Velocity, & Acceleration How is this graph different? How would you describe the motion of this object? Can we still calculate speed?? How??
Speed, Velocity, & Acceleration • Frame of Reference • Motion is Relative to Frame of Reference • You observe how other objects move by comparing to that frame of reference
Speed, Velocity, & Acceleration • Velocity • Vector Quantity (magnitude and direction) • Speed and direction • Speed and Velocity are not the same
Speed, Velocity, & Acceleration • Velocity • Vector Quantity (magnitude and direction) • Speed and direction • Speed and Velocity are not the same
Let’s Practice!!!! • A cart starting from rest travels a distance of 3.6 meters northward in 1.8 seconds. What is the average velocity? • A car drives from Tallahassee to Orlando. The distance is 830 km and the drive takes 7.3 hrs. What is the velocity of the car?
Speed, Velocity, & Acceleration • Acceleration • Rate at which velocity changes • Speeding up (positive) • Slowing down (negative) • Changing direction
Speed, Velocity, & Acceleration • Calculating Acceleration
Let’s Practice !!!! • A roller coaster speeds up going down a hill from 0 m/s to 11 m/s at the bottom of the hill. If this occurs in 3 seconds, what is the acceleration of the roller coaster? • A cheetah is running at a velocity of 14 m/s and slows to tackle a wildebeast to 2 m/s. If the chase takes 4.2 seconds, what is the cheetah’s acceleration?
Speed, Velocity, & Acceleration • v/t graphs – X-axis = time – Y-axis = speed – Analyzing speed-time graphs – Think slope of line: – ***Figure 16 in book***
Speed, Velocity, & Acceleration Find the acceleration between 2-5 seconds. How would you describe this object’s motion? What would the next plot point would be? How do you know?
Speed, Velocity, & Acceleration Find the acceleration between 2-4 seconds. Find the acceleration between 7-9 seconds. What is happening between 4-7 seconds, How do you know??
The Laws of Motion • Force • A push or a pull • Measured in newtons
The Laws of Motion • Balanced and Unbalanced Forces
The Laws of Motion • Drawing and Interpreting Force Diagrams
The Laws of Motion • Net Force • Rules for Adding Forces • Add forces in the same direction. • Subtract forces in opposite directions • Forces not in the same directions\ or in opposite directions cannot be directly added together.
The Laws of Motion • Friction • Force that works against the motion of an object
The Laws of Motion • Newton’s 1st Law • An object at rest will stay at rest and an object in motion will stay in motion, unless an unbalanced force acts on it. • Break It Down: INERTIA – Things want to keep doing what they are doing • Inertia is directly related to mass.
The Laws of Motion • Newton’s 2nd Law • Acceleration of an object is directly affected by the net force acting on it, and inversely by the mass of the object
The Laws of Motion • Newton’s 2nd Law • Force (N) = mass (kg) x acceleration (m/s2)
Let’s Practice!!!! • With what force will a car hit a tree if the car has a mass of 3,000 kg and it is accelerating at a rate of 2 m/s2? • If a helicopter’s mass is 4,500 kg and the net force on it is 18,000 N upward, what is it’s acceleration?
The Laws of Motion • Newton’s 3rd Law • For every action (force applied) there is an equal and opposite reaction (resulting force)
The Laws of Motion • Momentum • Mass of an object times its velocity • A vector quantity (magnitude and direction) • Momentum = mass x velocity
The Laws of Motion • Conservation of Momentum • Momentum remains constant for objects interacting with one another in a system
The Laws of Motion • Angular Momentum • Deals with rotational motion • Is a product of mass and velocity • Depends on the distribution of mass • Angular mass (moment of inertia)
Forces in Action • 4 basic Forces • Gravititational • Electromagnetism • Strong nuclear force • Weak nuclear force
Forces in Action • Gravitational • Force of attraction between two objects • Depends on mass and distance • Weakest of the four forces
Forces in Action • Gravity and Weight • Measures the force of gravity on mass • Weight and Mass are different things
Forces in Action • Falling for Gravity • Force of air friction between falling object and air particles • All objects regardless of mass, experience the same acceleration when in free fall
Forces in Action • Electromagnetic Forces • Forces occur when electric field interacts with electrically charged particles • Opposite charges attract, like charges repel
Forces in Action • Strong Nuclear Forces • Work at the atomic level • Strong Forces • Force that holds the nucleus of atom together • Strongest of the 4 forces, short range
Forces in Action • Weak Nuclear Forces • Work at the atomic level • Weak Forces • Force responsible for particle decay (radioactivity)
Energy • Energy • Ability to change or move matter • Exists in many forms • Potential • Nuclear • Elastic • Chemical • gravitational • Kinetic • Electrical • Radiant • Thermal • Mechanical
Energy • Energy Conversions • Law of Conservation of Energy • Energy cannot be created or destroyed, just converted from on form to another
Energy • Kinetic Energy – energy of motion – depends on mass and speed • Kinetic Energy = ½ mass x speed (KE = ½ m v2) KE (J) = ½ m (kg) X v (m/s)2
Energy • What is the kinetic energy of a 136.4 kg elephant moving at 34 m/s? •What is the kinetic energy of a 22.7 kg boy on his 45.5 kg bike rolling down a hill 25 meters high at 7.21 m/s? • Determine the kinetic energy of a 1000-kg roller coaster car that is moving with a speed of 20.0 m/s.