Science 10: Physics Lesson 1: Conversions: Factor label method, page 464 conversion chart Example: 4.5 m/min to m/s (0.075 m/s) 15 cm/hr to m/s (0.0025 m/s) 6 km/hr to m/min (0.1 m/min) Graphs: Step #1: Choosing the axes -independent variable plotted on horizontal axis (you choose) -dependent variable plotted on vertical axis -should be labeled Step #2: Scaling the axes -scales should be easy to read, whole numbers, and consistent intervals Step #3: Plotting data -data point marked with a small dot then place a circle around it. -draw a line of best fit (line comes as close as possible to most of the points) Step #4: Choosing a title -every graph needs a title, placed at the top of the page -describes the graph (includes both variables) Example: Lesson 2: Motion: The change in position of an object relative to a reference point. Change in length and/or direction Motion Can Be Best Described Using Mathematics and Graphs Uniform Motion: An objective is traveling at a constant rate of motion in a straight line. o speed - refers to motion of an object regardless of direction Scalar quantity: indicates only the magnitude (how much) of the quantity v o velocity - measurement of an object’s motion and direction Vector quantity: indicates the magnitude and direction v→ (on top) o m/s Speed Formula: Speed(v) = change in distance /change in time (d/t) Types of Uniform Motion: -Average Speed: total distance traveled in a given time, regardless of changes in speed v(ave) = total d/ total t * line of best fit = average speed Example: d = 5 km t = 0.5 hrs v(ave) = 10 km/hr -Instantaneous Speed: speed of an object at a specific instant * graph will tell you * speed at the 11.3 minute * one data point Example: speedometer Slope of the Line: * change in distance / change in time (Rise over Run) Helps us predict future events #1. Take two points on the line of best fit. #2. Find the changes in distance and time. #3. Use the formula slope = (Y2-Y3)/(X1-X2) Worksheet (4-10, 4-11) -title, -scale, -plot, -line of best fit, -slope Lesson 3: Velocity: Describes both rate of motion and direction. Distance: change in distance of an object moving from a starting point. o Scalar quantity o Ex: 0 m ------------------ 10 m total distance 10 m Displacement: change in distance and direction from a reference point. o Vector quantity o Ex: -2 m -----------0 m ------------ 3 m total distance 3m + 5m = 8m displacement 3m (right) + -5m (left) = -2m (left) Practice Questions Classroom Scavenger Hunt: Hide treats around the classroom in four different locations. Use a written set of instructions to find the hidden treasure. Need a meter stick, protractor, and instructions. Finding Out Activity: Analyzing Distance and Displacement (Page 178-179 Sciencefocus 10) Lesson 4: How to Identify Vector Directions: 1. X-Axis Method: Up and right are positive Down and left are negative Directions between the axis lines are given in degrees and not in positives or negatives. Up (90°) Positive Vector A 30° 6m Left (180°) negative Right (0°) positive Vector D 40° 2m Down (270°) negative Vector B 10m Vector C 8m Vector A = 6m (30°) Vector B = 10m (right) Vector C = -8m (down) Vector D = 2m (230°) Ex: a ball rolls with a velocity of 2 m/s (135°). Use the x-axis method to sketch this vector on a grid. 2. Navigator Method: North and East are positive South and West are negative Directions between the axis lines are given only in degrees and are not given a positive or negative value. North (0°) Positive Vector A 30° 6m West (270°) negative East (90°) positive Vector D 40° 2m South (180°) negative Vector B 10m Vector C 8m Vector A = 6m (90°) Vector B = 10m (East) Vector C = -8m (South) Vector D = 2m (220°) Ex; a ball is rolling at a velocity of 2 m/s (135°). Using a grid, sketch this vector using the navigator method. Lesson 5: Velocity Formula: Velocity (v) = change in displacement /change in time (d/t) Ex: a person walks 10.0m (E) away from a bus stop in 5.00s. What is the average velocity of the person? d = 10.0m (E) – 0.0m t = 5.00s v= 10.0m (E) / 5.00s = 2.00 m/s (E) Practice Problems. Displacement – Time Graphs: Same as distance – time graphs just include direction Questions Lesson 6: Non-uniform motion = object is not traveling at a constant speed o acceleration & deceleration (negative acceleration) o a = v / t = v2-v1/t2-t1 o m/s² Positive Acceleration: change in velocity is positive and the direction is positive negative positive Increasing velocity change in velocity is negative and the direction is negative negative positive Decreasing velocity Negative Acceleration: change in velocity is positive and the direction is negative negative positive Decreasing velocity change in velocity is negative and the direction is positive negative positive Increasing velocity Lesson 7: Speed –Time Graphs and Velocity-Time Graphs o acceleration = slope o distance or displacement = area o instantaneous speed or velocity= point on line o average speed or velocity= area / total time Lesson 8: Uniform Motion: Displacement TIME Velocity TIME Non-Uniform Motion: Positive Acceleration Displacement TIME Velocity TIME Non-Uniform Motion: Negative Acceleration Displacement TIME Velocity TIME Practice Questions Finding Out Activity: Describing Motion (Page 195: Sciencefocus 10) Lesson 9: Mouse Trap Car Lab Lesson 10: The Development of the Steam Engine: Steam Engine: any machine that generates steam and converts the steam pressure into mechanical motion. o Steam engine was invented through the process of trial and error. Hero of Alexandra: sealed kettle that had two pipes that carried steam to a hollow ball. The ball was mounted on the pipes so that it was free to spin around. Steam escaped through jets on the ball, causing it to spin. Savery: invented the first practical steam engine to draw up water from mines. Newcomen: designed an engine that relied on atmospheric pressure and pistons. Watt: invented an engine that could be used for powering other things, wheels etc. Modifications helped the rapid development of the Industrial Revolution. Parsons: developed steam turbines that did not use pistons Investigation 4-A: Turbine-Powered Hoist (Page 148 Sciencefocus 10) Lesson 11: Scientific Theories of Heat: Early Theories: o Ancient Greeks believed that all matter consisted of a combination of four elements: earth, fire, air, and water. When an object burned only fire was released. o The Phlogiston Theory: mid-evil times Substances contained an invisible fluid called phlogiston. This phlogiston flowed out of an object when it was burned only living behind ashes. Problem: some items leave more mass behind when burnt… o The Caloric Theory: 1700s Caloric or Heat was massless fluid found in every substance that could not be destroyed or created, only could flow between objects. Heat always flowed from warm objects to cold objects. Problem: metal friction causes cold objects to get hot… Modern Theories: o Count Rumford’s Hypothesis: o Heat is equivalent to energy. There is no invisible substance. o James Prescott Joule published calculations to prove this relationship. Heat: The transfer of thermal energy from one object to another Thermal Energy: The energy related to the continual and random motion of atoms and molecules. Kinetic Molecular Theory: Solids ~ molecules are close together, move very little, and have less energy. Liquids ~ molecules are farther apart, move a bit more, and have more energy. Gases ~ molecules are very far apart, move a lot, and have a lot of energy. As heat is added to molecules their activity increases and the spaces between the molecules increase. Temperature: a measure of the average kinetic energy of the individual atoms or molecules in a substance. Specific Heat Capacity: o The amount of heat it takes to raise the temperature of a specific mass of a substance by one degree Celsius. o 4.16 joule of work/energy causes 1.0 g of water to raise 1°C The Laws of Thermodynamics 1. Energy cannot be created nor destroyed, but can be transferred from one form/object to another. 2. Some energy is lost due to heat and not used in work. Heat and Temperature Activity: Page 162 in Sciencefocus 10 Lesson 12: Newton’s Laws: #1. An object at rest will remain at rest and an object in motion will remain in motion unless acted upon by an outside force. inertia - tendency to resist changes in motion #2. Force, mass, and acceleration are related F = mass x acceleration measured in N (kg m/s²) Force is a push or pull on an object. #3. For every action there is an equal and opposite reaction. Energy and Work: Energy: the ability to do work. Measured in Joules Work: the transfer of mechanical energy from one object to another object. Measured in Joules o Movement o Force o Force and distance excreted in the same direction (carrying a bag parallel to walking) Formula: W=FΔd W is the work in Joules F is the force in Newtons Δd is the distance in metres Practice Problems: worksheet Graphical Methods of Determining Work: Force – Position Graph o Calculate the area underneath the graph to indicate work o Calculate the amount of force or position using points on the graph. Practice Problems: worksheet Lesson 13: Classification of Energy: Potential Energy (Ep) = potential of an object to do work due to its position or condition. * “stored energy” ex: elastic, chemical -reference point (i.e. ground) Gravitational Potential Energy: Mechanical Ep = mgh where Ep = gravitational potential energy (J) m = mass of object (kg) g = acceleration due to gravity (m/s²) * 9.81 m/s² h = vertical distance from reference point (m) Parachute activity Electrical Potential Energy: * energy from electrical forces between opposite charges (+) (-) Ee = qV where Ee = electrical potential energy q = unit of charge (coulombs or c) V = Ep per unit charge (Volt or J/c) Potential Energy Worksheets Lesson 14: Kinetic Energy (Ek) = energy possessed by an object due to motion * “moving energy” * any object that moves has Ek * release of energy * energy that does work * hit by a ball= heavier ball hurts more and so does a fast ball Ek = 1/2mv² where Ek = Kinetic Energy (J) m = mass (kg) v = speed Electrical Kinetic Energy: * electrons moving through the wire * movement of electrical charges = current Ee = Pt where P = Power (Watts = J/s) Ee = Energy (J) t = Time (s) P = Ee/t rate at which energy is used Kinetic Energy Worksheets Lesson 15: Mechanical Energy: Combination of kinetic and potential energy. Em = Ep + Ek Example: A 0.300 kg ball is thrown in a straight line through the air. At a height of 2.50m above the surface of Earth, it has the speed of 20.0m/s. What is the total mechanical energy of the ball? Em = Ek = 1/2mv² + mgh Law of Conservation of Energy: Total amount of energy remains constant. Kinetic energy may be converted to potential energy and vice versa but the total amount is the same. Ek ↔Ep Example: A 1.50kg rock is dropped over the edge of a cliff, 30.0m above the surface of the lake. What is the speed of the rock just before it hits the surface of the lake? Activity B9: Inquiry Lab Mechanical Energy and the Pendulum (pages 186-187 Science 10) Lesson 16: Energy Efficiency: A measurement of how effectively a machine converts energy input into useful energy output. Percent efficiency = useful energy output (work) / total energy input (work) x 100 1. Conversion between work, mechanical energy, or thermal energy. 2. Conversion between work, mechanical energy, and thermal energy. Examples: Worksheet Bouncing Ball Lab: Page 201 in Science in Action 10 Lesson 17: Energy Applications: Energy Sources: o Renewable Energy Sources: continually and infinitely available resources Solar energy Wind energy Water energy Biomass Geothermal energy Tidal energy o Non-renewable Energy Sources: limited and irreplaceable resources Fossil Fuel Nuclear energy (fission or fusion of atoms) Energy Demand: o Amount of energy used per person has increased exponentially. o World population has increased o More societies use non-renewable resources instead of renewable resources. Consequences: o Strain on supplies o Environmental destruction o Pollution o Greenhouse gases Conservation: o Reduce amount of energy used o Cogeneration: using wasteful energy form one process to power a second process. o Sustainable solutions