Physics :acceleration and force Acceleration and Force Engagement Physics :acceleration and force Galileo’s Investigation What are the similarities and differences between a basketball and a tennis ball? Make a T-Chart Engagement Physics :acceleration and force Galileo’s Investigation What will happen if the balls are released from the same height above the floor? Try to use Physics vocabulary in your response. Engagement Physics :acceleration and force Galileo’s Investigation What’s going on here, why did they move? How would you describe the motion of the balls? – Path – Speed Again, try to use Physics vocabulary in your response. Explanation Physics :acceleration and force Force of Gravity: Pull or Push? Force can be described as a push or pull one object exerts on another. One specific force is weight. Weight = the force of gravity on an object. But what causes gravity? – The presence of mass Explanation Newton’s Universal Law of Gravitation HO 3.2 Physics :acceleration and force Masses attract one another about their centers with a force proportional to the product of their masses and inversely proportional to the square of the distance between them (whew!). Try to write that in an equation form. Force G m 1 m 2 d 2 Explanation Newton’s First Law Objects require a force to change their velocity. Physics :acceleration and force – Another term for this property of matter is inertia What is the principle property of an object that determines its inertia? – mass Explanation Newton’s First Law Example Physics :acceleration and force If we apply the same force (push) to a bus and a bicycle, which object will experience a greater change in velocity? Explanation Newton’s Second Law Physics :acceleration and force Force causes a change in motion – Change in motion means change in velocity – Change in velocity means??? A change in velocity occurs in a certain amount of time. AHA! That’s a rate. SF = ma Explanation Physics :acceleration and force Acceleration is a Rate The speedometer in your car indicates what property of motion? What happens to the needle if you speed up or slow down? The speed of the needle is a measure of your acceleration (in a straight line). Acceleration is the rate of change in velocity. Explanation Newton’s Second Law Example #1 Physics :acceleration and force SF = ma Important note: the acceleration vector is always in the same direction as the force vector. If we apply a 100N force to a wagon full of rocks initially at rest with a mass of 50 kg, what is its acceleration? What does this answer tell us? What is the velocity of the object after 1 second? – 2 seconds? – 5 seconds? 2 m/s2 100 N Explanation Newton’s Second Law Example #2 Physics :acceleration and force What happens when the acceleration vector points opposite to the velocity vector? 30 m/s F -5m/s2 How long will it take Mighty Mikey to stop the train? Explanation Physics :acceleration and force Newton’s Third Law No single isolated force can exist Equal and Opposite forces exist only between two objects WRONG! Push on water Explanation Physics :acceleration and force Newton’s Third Law Example You push on the water The water pushes back on you with an equal force in the opposite direction So why do you move? Push on swimmer Push on water CORRECT! Explanation Physics :acceleration and force Acceleration Due to Gravity The Tennis Ball and Basketball hit the ground at the same time because they accelerated at the same rate (~10 m/s2). What force changed their velocities?...Weight. Weight = mass X gravity (W=mg). Wbb>W tb Explanation Acceleration Due to Gravity F m F/m a F = weight Physics :acceleration and force = weight m= mass = mass = F/m a=g regardless of mass! =a Elaboration Physics :acceleration and force Is there a Starbuck’s in the Leaning Tower of Pisa? Observe the instructor drop a new set of objects. As a class, discuss the similarities and differences in their motion. Why is this different? Elaboration Physics :acceleration and force Paper Drop Challenge HO 3.3 Materials per group: 2 sheets of paper, stopwatch, 8 paperclips, 30cm of tape, scissors, meter stick. Have Materials Manager distribute supplies. You have 10 minutes for this activity. Make one whole piece of paper drop to the floor as fast as possible from a height of 2 meters and the other drop as slowly as possible from the same height. (Do not attach the scissors or meter stick to your paper.) GO! Elaboration Paper Drop Challenge Physics :acceleration and force As a group, describe your strategy for making the piece of paper: – Drop the slowest – Drop the fastest Make a table of your drop times for comparison with the class Explain why your two pieces of paper accelerate at different rates. Explanation Physics :acceleration and force Free Body Diagram HO 3.4 A free body diagram is a pictorial representation of all forces acting on an object. We consider the object to be isolated from the physical system and choose to examine only the forces directly acting ON the object, not forces applied BY the object. Explanation Physics :acceleration and force Free Body Diagram Example Label the forces acting on the block. Explanation Free Body Diagram Example Physics :acceleration and force Force on the block by the ground Force on the block by the ground Force on the block by Antonio Force on the block by the rope. Force on the block by the earth Explanation Free Body Diagram Example 2 Physics :acceleration and force Forces on coffee filter before release (balanced forces) Support from my hand Weight Explanation Free Body Diagram Example 2 Forces on coffee filter immediately after release (unbalanced force acceleration) Physics :acceleration and force Weight Explanation Free Body Diagram Example 2 Physics :acceleration and force Forces on coffee filter while falling What factors influence the magnitude of the force of air resistance? Air resistance Weight Explanation Physics :acceleration and force So Why Different Times? Force due to gravity is different for the two objects Their masses are different and therefore they have different inertias They do not accelerate at the same rate …WHY??? – We must examine ALL the forces acting on the objects in order to determine the Net Force. Explanation Net Force Physics :acceleration and force SF If you earn $2000/mo but taxes, ins, retirement and other reductions total $350/mo then your: – Gross Pay = $2000/mo – Net Pay = $1650/mo Net Force Explanation Physics :acceleration and force Net Force The force of air resistance is greater for the basketball than the coffee filter. However, the force of air resistance is negligible compared to the weight of the basketball, therefore the Net Force is toward the floor. Air resistance Weight Explanation Physics :acceleration and force So Why Different Times? The force of air resistance is also acting on the coffee filter and is comparable in size to the weight. In fact, at some point, the force of air resistance is equal to the weight of the coffee filter. When this is the case: – There is NO net force – Therefore there is no acceleration – Therefore the object moves at a constant speed This equilibrium condition is called terminal velocity Evaluation Sky Diver Physics HO 3.5 A skydiver jumped out of a plane 1 sec ago. – Physics :acceleration and force Label the forces on the skydiver After some time, the skydiver has zero acceleration – What does this indicate about her speed? – What is the name for this equilibrium condition of a falling object? – Label the forces on the skydiver What factors influence the force of air resistance on the skydiver? BONUS: What is the terminal velocity of a human? Summary Physics :acceleration and force Summary Force Gravity & Weight Newton’s Laws Air resistance Free Body Diagrams Net Force So what? – This applies to transportation, moving objects, sports, etc. Homework Reading Assignments HO 3.6 NSES – p. 123, 126-127; Physics :acceleration and force 149, 154-155; 176-181 BSL – 87-92 Integrated Science – Forces: p. 26-27, Falling Objects:p. 29-31, Laws of Motion:p. 32-38 Homework Concepts and Questions Integrated Science, Ch. 2 – Applying the Concepts Physics :acceleration and force – 1-6, 8-9 Questions for Thought 1, 5, 8