Honors Physics Semester 1 Review PowerPoint Distance vs Displacement 0 1 2 3 4 5 6 7 8 9 Distance = magnitude only = 8m Displacement = magnitude and direction = Δx = x2 – x1 Δx = x2 – x1 = 9m – 1m = +8m Acceleration • When you increase your speed in a car, are you accelerating? • When you turn in a car, are you accelerating? • When you slow down in a car, are you accelerating? • This is called deceleration or negative acceleration or acceleration in the direction opposite of the car’s movement. • Objectives: define distance and calculate speed, and explain what is meant by scalar quantity. Scalar Quantity: • Quantity with only a numerical value • Distance tells us how far but not in what direction. • Time • Mass • Temperature Graphical Analysis Zero acceleration Positive acceleration Kinematics Speed: the rate at which distance is traveled Constant Speed: speed of object does not change Units: meters m second s Average speed = total distance/total time REVIEW: • Motion: change of position • Scalar: numbers only • Vector: direction • Velocity: change of speed in a given direction • Acceleration: a change in velocity • Therefore, a change in speed or a change in direction Graphs • Position v Time graphs constant velocity Δv = acceleration Speed and Velocity • There are two types of Velocity: • 1. Average Velocity V = ∆d/∆t For example, when a car moved 50 km in 2 hours, the average velocity is 25km/h. • 2. Instantaneous Velocity For example, when the speed cameras give you a ticket, they show the car driving at 90 km/h for that instant. Position in Meters Velocity What is the velocity of this object between 0-4 sec? What is the initial starting position of the object? What is the displacement of this object from 3-4 seconds? What is the object’s final position? • Assuming the objects motion does not change, what would its position be at t=20s? Position in Meters Graphs Time (seconds) • What is happening to the velocity of these two objects? • What is happening at t=2s? • At t=4s, which object has greater speed? Graphical Analysis Zero acceleration Positive acceleration Newton’s First Law of Motion or Law of Inertia: in the absence of an unbalanced force, a body at rest remains at rest, and a body in motion remains in motion with a constant velocity (speed and direction). Inertia and Newton’s 1st Law • Inertia - tendency of an object to overcome a change in motion • Characteristics: more mass = more inertia Mass is the quantitative measure of inertia. Net Forces Normal Force When an object is sitting on a level surface then the normal force is always equal and opposite of the weight of the object. Forces Symbols Fapp – applied force (push or pull) Fg – force of gravity (always toward center of earth or down) Fn – normal force (always perpendicular to surface) Ff – force of friction (same as surface) Balanced forces do not change the object’s motion. FORCES • Unbalanced forces result in a change in the object’s motion. Newton’s First Law of Motion or Law of Inertia: in the absence of an unbalanced force, a body at rest remains at rest, and a body in motion remains in motion with a constant velocity (speed and direction). Newton’s 3rd Law of Motion • For every force (action), there is an equal and opposite force (reaction). Free Fall – Force of Gravity ONLY • Free Fall: A Particular Acceleration • How fast a falling object moves is entirely DIFFERENT from how far it moves. • We will treat x and y separately • SI Unit: Newton = kg • m/s2 • Force is a vector (magnitude/direction) Like velocity and acceleration, force has a strength AND a direction FORCE Resultant Force: the total of all forces acting on an object. • Force 1 pushes upward with 2 N • Force 2 pushes horizontally with 5 N Net Forces with angles Net Forces with angles What is the net force on this object? Pull Force of 20 N at 16° 50kg What is Fs? What is FN? Types of Friction Static Friction: Frictional force is sufficient to prevent motion between surfaces. Static Friction Formula fs ≤ µsN (static conditions = no movement) µscoefficient of static friction Friction (think about ice) Normal Force • Normal means perpendicular. • Force that a surface exerts on an object. Normal Force • When an object is sitting on a level surface then the normal force is always equal and opposite of the weight of the object. Force Formula • Acceleration of an object is directly proportional to the net force and inversely proportional to its mass. Acceleration = Force Mass Momentum and Impulse • The concept of impulse and momentum using Newton’s 2nd Law: • F = ma a = vf – vi = Δv F = m Δv t t t • Take t to the other side: • Impulse-Momentum Theorum = F t = m Δv • • • • F(t) is called IMPULSE. It is defined as a force acting through time. Impulse is numerically equal to the Δ of momentum. So a force acting for time on some object gives rise to a change of the object’s momentum. Is momentum conserved? • YES. • The momentum lost by one object is gained by the other object. • The total amount is constant. Elastic Collisions Total Kinetic Energy is conserved • Follows the Law of Conservation of Momentum • Kafter = Kbefore Inelastic Collisions Kinetic energy is NOT conserved • Change in original shapes • Sound and friction – KE lost Linear Momentum • Formula: ρ = m v • ρ = momentum • m = mass • v = velocity SI Units? kg m/s Law of Conservation of Linear Momentum: "the total momentum of an isolated system of interacting bodies remains constant." OR "Total momentum of an isolated system before collision is always equal to total momentum after collision.“ Correlates to Newton’s 1st Law of Motion Radians Correct SI unit for angular measurements radius to arc length = radian (The Rad) 1 rad = 360˚/2π = 57.3˚ Calculators: switch to rad when told Period and Frequency Frequency: number of cycles per unit of time. f = 1/t or s-1 Period: (t) time it takes an object in circular motion to complete one revolution or cycle t = 1/f Frequency and period = inverse relationship Frequency SI: 1/s = Hertz (Hz) Heinrich Rudolf Hertz Uniform Circular Motion Needs 3 things 1. Centripetal Force Uniform Circular Motion 2. Angular Acceleration 3. Constant Speed V= Tangential velocity wants to go in a straight line Gravitational Field Lines for Two Objects Kepler’s rd 3 Law of Planetary Motion This Law lets us determine a newly discovered planet’s distance from the Sun. Kepler’s Laws of Planetary Motion Kepler’s 2nd Law: (Law of Areas) A line from the Sun to a planet sweeps out equal areas in equal lengths of time. Escape Velocity What kind of energy must a man-made satellite have to escape Earth’s gravitational pull? Formula for Escape Velocity: Escape speed = escape surface of Earth is about 11km/s or 7mi/s Centrifugal is just Inertia – what Law? Newton’s 1st: an object in motion wants to stay in that motion and not change speed or direction unless acted upon by an outside force.