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Chapter 5: Matter in Motion Material on Final Exam Section 1: Measuring Motion • Objectives: • Describe the motion of an object by the position of the object in relation to a reference point • Identify the two factors that determine speed • Explain the difference between speed and velocity • Analyze the relationship between velocity and acceleration • Explain how changes in motion can be measured and represented in a graph Section 1: Measuring Motion • Everything moves • Even if it does not look like it • When we see things move, it is based on a __________________________ reference point Motion is when an object changes position over • _____________ time relative to a reference point 1/26 Agenda Continue Notes: • How to solve Velocity math problems • Practice calculating speed, time, and distance • Begin some HW problems for practice HW: Pg 1: items I, II, III Pg 2, and Pg 3 Section 1: Measuring Motion • What is speed? Speed is the distance traveled by an object divided • _________ by the time taken to travel the distance • SI unit is _________ m/s • Other units: mi/h, km/h, ft/s Section 1: Measuring Motion • Average Speed WHOLE • For the __________ time = total distance total time • General speed • For a _________ short time = distance time Section 1: Measuring Motion 1. Write the formula 2. Identify knowns and unknowns 3. Plug in numbers 4. “Chug”: Solve and circle What is the average speed for the whole trip? Section 1: Measuring Motion 1. Write the formula 2. Identify knowns and unknowns 3. Plug in numbers 4. “Chug”: Solve and circle A snail moves 1m in 100 seconds. What is the speed ? Section 1: Measuring Motion 1. Write the formula 2. Identify knowns and unknowns 3. Plug in numbers 4. “Chug”: Solve and circle A car is driving along at 25km/hr. How long will it take me to drive 400km? Section 1: Measuring Motion 1. Write the formula 2. Identify variables 3. Plug in numbers 4. Solve and circle A bee is flying by at a speed of .75 m/s. How far will the bee travel in 60 seconds? Section 1: Measuring Motion Speed ≠ Velocity Velocity is the speed of an object in a given direction • _____________ direction • Velocity MUST include a ___________! Section 1: Measuring Motion • Which is it? Speed or Velocity? • 7 miles per hour • 2.345 inches/minute east • 18.7 ft/s down • 7.77 km/day Section 1: Measuring Motion • Changes in Velocity speed • Could be a change in the actual ________ direction • Could be a change in ______________ both • Could be _________! Section 1: Measuring Motion • Combining Velocities • When you combine velocities together, you have to look at the direction ADD • If they are in the same direction, you ______ them SUBTRACT THEM • If they are in different directions, you ______________ • ***MAKE SURE TO INCLUDE THE DIRECTION*** Section 1: Measuring Motion • Combining velocities • I walk 3 ft/s down while the escalator pushes me 5 ft/s up. What is the resultant velocity? • A bird is flying at a velocity of 5km/hr west when a gust of wind pushes her with a velocity of 10 km/hr west. What is the resultant velocity? Section 1: Measuring Motion Distance-Time graphs • This type of graph is based on the most basic things we need to know about the motion of an distance time object (______________ and _________). X axis • Time goes on the ___ • Position / Distance goes on the ___-axis Y away from start, we • IF the object moves _________ increase __________________ distance (+) • IF the object moves ____________ start, we toward decrease distance (-) ____________ • Draw each section a bit at a time • No best fit lines! Section 1: Measuring Motion Dance Class Movement 100 90 Distance from wall (feet) 80 70 60 50 40 30 20 10 0 0 15 30 45 60 75 Time (seconds) 90 105 120 135 150 Section 1: Measuring Motion • What is happening from 0-30 seconds? • What is happening from 0-60 seconds? • From 60-75 seconds? • From 75-90 seconds? • From 90-105 seconds? • 105 to 120? • 120 to 135? • 135 to 150? Section 1: Measuring Motion • What is the speed of the dancer from… • 30 to 60 seconds? • 90 to 105 seconds? • 135 to 150 seconds? Section 1: Measuring Motion • Acceleration not always mean “speed up”! • Does ________ Acceleration is the rate at which velocity • ___________________ changes • An object accelerates if its speed, direction, or both change Section 1: Measuring Motion • Increase in velocity • ________________________ Positive acceleration • Do not say “speeding up” • Decrease in velocity acceleration • Negative __________________________ • Do not say “slowing down” Section 1: Measuring Motion • Calculating Average Acceleration m/s2 • Units for acceleration:__________ • How? m =mx1 =m s s x s s2 s Section 1: Measuring Motion • Math Practice • Use the equation for average acceleration to do the following problem. • A plane passes over point A at a velocity of 240 m/s north. Forty seconds later, it passes over point B at a velocity of 260 m/s north. What is the plane’s average acceleration? • • • • Write the formula Show your work Solve with correct number Include correct units Section 1: Measuring Motion • Math Practice—Solving for Acceleration (a) • A roller coasters velocity at the top of the hill is 10 m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26m/s. What is the acceleration of the coaster? Section 1: Measuring Motion • Math Practice—Solving for time (t) • How long will it take a car to go from 0 to 45 km/hr if they are accelerating at 5 km/hr2? Section 1: Measuring Motion • Math Practice—Solving for starting/initial velocity (vi) • You roll a bowling ball for 4 s. The ball traveled at a constant acceleration of 2 m/s2 down the lane and was traveling at a speed of 9 m/s by the time it reached the pins at the end of the lane. How fast was the ball going when it left Tim’s hand? Section 1: Measuring Motion • Math Practice—Solving for final velocity (vf) • If a truck, with an initial velocity of 10 m/s, accelerates at a rate of 30 m/s2 for 3 seconds, what will its final velocity be? Section 1: Measuring Motion Section 1: Measuring Motion • Recognizing Acceleration on a Graph • Velocity has to CHANGE over time Section 1: Measuring Motion • Circular Motion: Continuous Acceleration • You are always changing direction in a circle! Centripetal • _________________ acceleration _____________________ is the acceleration that occurs during circular motion • Not “speeding up” (Positive acceleration) • Not “slowing down” (Negative acceleration) direction • But changing ____________________! Section 1: Measuring Motion • Please answer the following questions on your objective sheet • Describe the motion of an object by the position of the object in relation to a reference point • Identify the two factors that determine speed • Explain the difference between speed and velocity • Analyze the relationship between velocity and acceleration • Explain how changes in motion can be measured and represented in a graph Section 2: What is a Force? • Objectives • Describe forces, and explain how forces act on objects. • How do you determine the net force when more than one force is acting on an object? • Compare balanced and unbalanced forces. • Describe how unbalanced forces cause changes in motion. Section 2: What is a Force? • What is a force? push or • A force is a _______ pull _________ exerted on an object in order to change the direction of the object • Often causes a change in motion • Unit of force is the Newton (N) _______________ Section 2: What is a Force? • Forces • Any time you push or pull an object, you are exerting a force. a force does not guarantee movement • However, a _________________________________________! Section 2: What is a Force? • Unseen Forces and Receivers of Force • Sometimes we ______________ cannot see the forces that are in place • Gravity • Magnetism • Static electricity Section 2: What is a Force? Determining Net Force The net force is the combination of all of the forces _______________________ acting on an object • SAME direction? _______! Add Subtract • OPPOSITE direction? ____________ Section 2: What is a Force? • Balanced and Unbalanced Forces net forces • Look at the ________________ to see if forces are balanced or not • If the net force is zero… • The forces are balanced _________________! • No change in motion • If the net force is not zero… • The forces are ________________! unbalanced • There is a change in motion Section 2: What is a Force? • Please answer the following on your objective sheet • Describe forces, and explain how forces act on objects. • How do you determine the net force when more than one force is acting on an object? • Compare balanced and unbalanced forces. • Describe how unbalanced forces cause changes in motion. Section 3: A Force that Opposes Motion • Please answer the following on your objective sheet • Describe friction • Explain why friction occurs • List the two types of friction, and give examples of each Section 3: A Force that Opposes Motion • Why does it stop? • Unbalanced force! Friction • ____________ is a force that opposes motion between two surfaces that are in contact rough surface • Everything has a ________ Section 3: A Force that Opposes Motion • The microscopic view of surfaces shows little hills and valleys • When they come in contact with each other, they stick together and slow down the movement Section 3: A Force that Opposes Motion • What is the difference? weight • The ______________________________! weight • More _____________ = more _____________ friction Section 3: A Force that Opposes Motion • Rough surfaces and friction rougher • The ________________ the surface, the more hills and valleys the two items can get “stuck” on Section 3: A Force that Opposes Motion Types of Friction • Kinetic Friction • Friction between moving _____________ surfaces • _____________ Sliding Rolling • _____________ • Static Friction • Friction between nonmoving ________________ objects • _____ No movement because forces are balanced Section 3: A Force that Opposes Motion Section 3: A Force that Opposes Motion • Friction: Harmful and Helpful • No friction? • Could not push tires against ground to move car • Could not use brakes to stop car • With friction? • Car parts rub against each other and wear out • Part of everyday life! • Writing, holes in socks, slipping on ice, climbing a hill Section 3: A Force that Opposes Motion • Please answer the following on your objective sheet • Describe friction • Explain why friction occurs • List the two types of friction, and give examples of each Section 4: Gravity—A force of Attraction • Objectives • Describe gravity and its effect on matter • Describe the difference between mass and weight Section 4: Gravity—A force of Attraction • What is gravity? • Gravity is a force of attraction _______________ between objects that is due to their masses • Gravity can affect an object by… speed • Changing its ________ • Changing its direction __________________ • Changing its speed _______ AND direction Section 4: Gravity—A force of Attraction • The Effects of Gravity on Matter mass • All objects have ________ • All objects experience an ______________ attraction towards one another due to gravity • Why don’t we get sucked into other people, items, or objects? _______________ We do not have enough mass! _______________ Section 4: Gravity—A force of Attraction • Newton and the study of gravity • Newton was able to recognize that items falling and the moon in orbit are caused by _________________ gravity • Newton’s Law of Universal Gravitation describes the relationship between force gravitational _________, distance mass and ____________ _______, • Applies to everything in the universe! Section 4: Gravity—A force of Attraction Law of Universal Gravitation Gravitation force Gravitation force • Part 1: _______________________ • Part 2: ________________________ ______________________________ ______________________________ increases as mass increases decreases as distance __________________________ increases Section 4: Gravity—A force of Attraction • Weight as a measure of Gravitational Force not the same • Weight and mass are ______________________ • Mass—the amount of _________ mass in an object (kg) • Weight—measure of ________________________________ on gravitational force an object (N) Section 4: Gravity—A force of Attraction • Weight can be calculated using the formula 𝑊𝑒𝑖𝑔ℎ𝑡 = 𝑚𝑎𝑠𝑠 𝑥 𝑔𝑟𝑎𝑣𝑖𝑡𝑦 𝑊 = 𝑚𝑔 • Units Newtons (N) • Weight: ______________ Kilograms (kg) • Mass: _______________ convert • If in grams, must _______________ m/s2 • Gravity: _______ 9.8 m/s2 • On Earth, the value is _________________ Section 4: Gravity—A force of Attraction • Math Practice: Solving for Weight (w) • A cat has a mass of 7 kg. What would the weight of the cat be on Earth? Section 4: Gravity—A force of Attraction • Math Practice: Solving for mass (kg) • On a trip to Mars, you meet an alien. When you bring it back to Earth, you find that it weighs 245 N on Earth. What is the mass of the alien? Section 4: Gravity—A force of Attraction • Math Practice: Solving for gravity (g) • The same alien from before (mass of 25 kg) says he only weighs 90N on his home planet. What is the gravity on Mars? Section 4: Gravity—A force of Attraction • Please answer the following on your objective sheet • Describe gravity and its effect on matter • Describe the difference between mass and weight