Chapter 2 Forces and Motion Dr. Gluck Forces and Motion Laws of Motion 2.1 Newton's First Law 2.2 Acceleration and Newton's Second Law 2.3 Gravity and Free Fall 2.4 Graphs of Motion Forces PS3 (9-11) – 9b, 8a How do Newton’s laws predict the motion of an object when forces act on it? What is the difference between forces applied to an object and forces applied by an object? According to Newton’s third law, why is motion possible? How does the motion of a mass change due to forces acting on it? How can we explain the change in motion of a mass as caused by different forces? 2A Investigation: Law of Inertia Key Question: Why are heavier objects harder to start or stop moving? *Students read text section 2.1 AFTER Investigation 2A 2A Investigation Topics Launch cars of different mass. Measure time intervals. Calculate speed based on measured time intervals. Graph speed vs. mass. Research and define terms: inertia, weight and mass. Chapter 2.1 Objectives and Vocabulary Recognize that force is needed to change an object's motion. Explain Newton's first law. Describe how inertia and mass are related. force Newton's first law inertia newton net force What is the difference between mass and weight? – measure of the amount of matter in an object. Mass Mass – is constant – measure of gravitational force between two objects. Weight – changes depending on the amount of gravity Weight Sir Isaac Newton (1642-1727) English Physicist Invented His calculus three laws explain the relationship of forces, an objects mass, and it's motion. How do we change the motion of an object? Force Push or pull Any action that has the ability to change motion. Club hits ball. What are the possibilities? 1. Ball stays in motion at constant speed. 2. Another force acts on the ball. Force is opposite of the motion causing ball to stop. Force applied at an angle and it changes direction. Bottom Line: There has to be a force applied to the ball OR the ball moves unchanged forever. What is going on here? Describe what is going to happen. An object in motion stays in motion….. How could this have been prevented?? Inertia Property of an object to RESIST a change in motion. But what causes inertia? MASS If mass determines how much inertia an object has, which of these has more inertia? The heavier object has more inertia. 1 pound = 4.448 N a Newton (N) LARGER A Is Newton is SMALLER thanor an pound. SMALLER than a pound? NET FORCE is the total of ALL forces acting on an object. Can we just add all the forces acting on the object mathematically in Newton’s? NO Direction matters NET FORCE IS A VECTOR QUANTITY. Needs magnitude and direction. Forces in the SAME direction Add them up: 500 200 = 700 ---- Forces in OPPOSITE directions Add them up using direction: 500N - 200N Total : 300N 2B Investigation: Newton's Second Law Key Questions: What is force? What is the relationship between force and motion? *Students read text section 2.2 AFTER Investigation 2B 2B Investigation Topics Measure time intervals of car moving along track. Calculate and compare speeds of car at different points on track. Evaluate forces acting on car. Calculate acceleration of car. Use Newton's second law to calculate the force. Graph force vs. time for the car on the track. Explain how speed and acceleration are different using graphs. Chapter 2.2 Objectives and Vocabulary Define and calculate acceleration. Explain the relationship between force, mass, and acceleration. Determine mass, acceleration and force given two of the quantities. acceleration deceleration Newton's second law Newton’s First Law says that a force is needed to change an object’s motion. What kind of change happens? What is acceleration? Rate at which speed changes. f i What does the acceleration of an object depend on? FORCE MASS This is Newton’s Second Law Force causes acceleration, and mass resists acceleration. Some things to consider when applying Newton’s second law: 1. The NET force is what causes the acceleration. 2. If there is no acceleration, the net force must be zero. 3. If there is acceleration, there must be a net force. 4. The force unit of newtons is based on kg, m, and s. Chapter 2.3 Objectives and Vocabulary Describe the motion of an object in free fall. Calculate the speed and distance for an object in free fall. Distinguish between mass and weight. Explain how air resistance affects the motion of objects. free fall acceleration due to gravity velocity weight air resistance terminal speed Free Fall Objects in free fall accelerate downward due to gravity and no other forces. Abbreviated Has by “g” a value of 9.8 m/s/s If you know the acceleration of an object in free fall, you can predict its speed. m s = m s s s So, is the speed (velocity) of a falling object constant or is there an acceleration? A skydiver falls for 6 seconds before opening her parachute. Calculate her actual speed at the 6-sec mark and the distance she has fallen in this time. Given: initial speed = 0 m/s Time = 6 sec Formulas: vf = gt vf = gt Vf = 9.8 m/s/s (6 sec) Vf = 58.8 m/s Looking for: final speed and distance vavg = v1 + v2 2 vavg = d=vavgt v1 + v2 2 d=vavgt Vavg = (0+58.8m/s/s) = 29.4 m/s 2 d=(29.4 m/s)(6 sec) = 176.4 m Calculate the final speed and distance for a skydiver who waits only 4 seconds to open his parachute. Given: initial speed = 0 m/s Time = 4 sec Formulas: vf = gt t = 4 sec Vf = (9.8 m/s/s)(4 sec) Vf = 39.2 m/s Looking for: final speed and distance vavg = v1 + v2 2 d=vavgt Vavg = 0 + 39.2 m/s = 19.6 m/s d = (19.6 m/s)(4 sec) = 78.4 m An apple falls from the top branch of a tree and lands 1 second later. How tall is the tree? Given: initial speed = 0 m/s Time = 1 sec Formulas: vf = gt t = 1 sec Vf = (9.8 m/s/s) (1 sec) = 9.8 m/s Looking for: distance vavg = v1 + v2 2 d=vavgt Vavg = 0 + 9.8m/s = 4.9 m/s 2 d = (4.9 m/s)(1 sec) = 4.9 m Is there a difference between the mass of these astronauts? Is there a difference between the weight of these astronauts? Weight depends on gravity. The more gravity, the more weight. Chapter 2.4 Objectives and Vocabulary Describe motion with position versus time and speed versus time graphs. Use a position versus time graph to calculate speed from the slope. Use a speed versus time graph to calculate acceleration and distance traveled. slope