Chapter 11 Motion and Forces Section 11.1: Measuring Motion What is Motion? Motion is an object's change in position over time when compared with a reference point. Frame of Reference - A frame of reference is a system for specifying the precise location of objects in space and time. Objects that make up a frame of reference are treated as if they are not moving. A stationary object used to measure a distance and time of an object moving away. Distance – a measurement of how far an object moves Displacement – a measure of how far you are from the starting point Speed vs Velocity Speed is the rate at which an object moves. Average speed the total distance traveled divided by the total time interval during which the motion occurred. Velocity describes both how fast an object is moving AND what direction it is moving. Average velocity is calculated by dividing the total distance by the time interval during which the distance occurred. And a given direction Instantaneous Speed is the speed of an object at a given instant, or point in time. Constant Speed is speed that doesn’t change, represented by a straight line on a distant(position)-time graph. Objects’ distance traveled would be the same each interval of time that passed. Distance(position)-Time graph. The slope of the line connecting two points on a graph of position versus time equals the change in distance over change in time. Change in the Rise over change in the Run. Combining Velocities 5 m/s 5m/s 3 m/s Assign the two velocities positive and negative based on direction of travel. For example, Object traveling North positive and an opposing force a negative number. Practice – Showing Motion on a Graph 0 Time 1 2 3 4 5 6 1 Distance 10 20 30 40 50 60 2 3 4 Time 1 2 3 4 5 6 5 6 Distance 5 10 15 20 25 30 1. Which car had the fast rate of motion? How could you tell? 2. Which car did not maintain a constant speed? How could tell from the graph? Section 11.2: Acceleration How is Acceleration related to Velocity? Acceleration is the rate at which velocity changes over time. An object accelerates if it changes speed, direction, or both. An object that changes direction is accelerating, even if its speed is constant. Centripetal acceleration is the acceleration that occurs when an object moves in a circular path. Every object that orbits another object is experiencing centripetal acceleration. Velocity-Time Graphs Acceleration measures the rate of change in velocity. The average acceleration equals the change in velocity divided by the time required to make the change. The acceleration at any moment can be calculated from a velocity - time graph. Equation for Average Acceleration Average acceleration is the average rate at which an object's velocity changes over some time interval. This rate includes both magnitude and direction. Acceleration (a) = ____________________________________________ Vfinal = _____________ Vinitial = _____________ Delta Time = _____________ a = _____________ Graphing Acceleration Constant Acceleration is acceleration that does not change with time. The slope of a straight line on a graph of velocity vs. time is equal to an objects’ acceleration. A line with a positive slope is speeding up, and a negative slope indicates an object is slowing down. Label the parts of the graph where the object is slowing down, speeding up, and has a constant speed. Determine the acceleration of; Slope A Slope B Slope C Comparing Distance-Time graphs with Velocity-Time Graphs Speed vs. Time Distance vs. Time 1. What does a straight line mean on a speed-time graph? _________________________ 2. What does a straight line mean on a distance time graph? _________________________ 3. What does a curve line mean on a speed-time graph? _________________________ 4. What does a curve line mean on a distance time graph? _________________________ 11.3 Forces and Motion Notes Force is a push or pull that causes a change in motion of an Object Represented by a capital F Formula to determine net Force is F = ma (Newtons 2nd Law) The unit for Force is the Newton represented by a capital N Four Fundamental Forces in nature Fundamental Force Short or Far distances Strong nuclear Force Short distances Relative Strengths (1 strongest) 1 Weak Nuclear Force Short distances 1/10 Electromagnetic Force Far distances 1/100 Gravity Far distances 1/1040 Forces can act through contact or at a distance Contact Forces – require contact between the surfaces – ex. Friction Field Forces – act over a distance ex. Gravity or Magnetism Balanced and Unbalanced Forces Balances Forces do not change motion. Unbalanced Forces causes changes in motion, (does not cancel) The Force of Friction The force of Friction always opposes motion, and is in the opposite direction of motion. Friction occurs because the surface of any surface is not smooth. Friction causes kinetic energy to be converted to heat energy. Types of Friction Static Kinetic Friction Sliding Rolling Fluid Friction meaning b/t stationary surfaces b/t moving objects Sliding past each other Rolling over surface Contact with Liquid or gas examples Car parked on hill Car skidding on road Skateboard, bicycle Boat or airplane Friction and Motion Without friction, many everyday tasks would not be possible. Getting an object in motion and then stopping are possible due to the force of friction. Other everyday tasks include writing, cleaning, cooking, cleaning and personal care. Unwanted Friction can be lowered The use of low friction materials. Ex. Non-stick cookware The use of Lubricants – Silicon, Graphite, Oil, Butter, Waxes Helpful friction can be increased Making surfaces rougher increases friction (heat is byproduct) Ex. Sand on icy roads, baseball gloves Increase force between objects that are touching Ex. Spring on cars and bikes Ex. Weight on stack of papers on windy day Cars could not move without friction Tires push on the road (the cause) and the road pushes back on the car (the effect) Because of friction, a force must be applied to keep the car in motion at all times.