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Measuring Motion Chapter 5 Observing Motion by Using a Reference Point O How do you know an object is moving? O When you watch the motion of an object, you are actually watching the object in relation to another object that appears to stay in place. O The object that appears to stay in place is a reference point. Observing Motion by Using a Reference Point O When an object changes position over time relative to a reference point, the object is in motion. O Common Reference Points: O tree O building O door O objects in motion – a bird flying while in a hot air balloon. Speed Depends on Distance and Time O Speed-Distance traveled by an object divided by the time taken to travel that distance. O Ex. A balloon traveled 50 m in 10 s. What is the balloons speed? O The SI unit for speed is meters per second (m/s). Determining Average Speed O Most of the time, objects do not travel at a constant speed – you probably do not walk at a constant speed from one class to the next. O Average speed= total distance Total time Average Speed O Examples: O An athlete swims a distance from one end of a 50m pool to the other end in a time of 25s. What is the athletes average speed? O Jake jogs to a store 72 m away in a time of 36s. What is Jake’s average speed? Recognizing Speed on a Graph Distance vs. Time What is the average speed? Distance (m) Time (s) Velocity: Direction Matters O Imagine that 2 students leave the same classroom at the same time. They both walk at 10km/hr for 5 min, 12 km/hr for 8 min, and 5 km/hr for 10 min. Why don’t they end up at the same place? Velocity O Velocity- Speed of an object in a particular direction O You must always include a direction in your answer O Constant velocity only occurs if neither speed nor direction changes. O Velocities can be added or subtracted together to give a resultant velocity. O Add velocities that are in the same direction. O Ex: Walking on a bus as the bus is moving forward. O Subtract velocities that are in opposite directions. O Ex. Walking to the back of the bus while it is moving forward Finding Resultant Velocities O Same direction 2 km/min east 15 km/min east O Resultant Velocity = Finding Resultant Velocities O Opposite directions 2 km/min west 15 km/min east O Resultant Velocity= Acceleration O Acceleration is the rate at which velocity changes. O Velocity changes if: speed changes O direction changes O both change O O Increase in velocity = positive acceleration O Decrease in velocity = negative acceleration (deceleration) Acceleration O Calculating Average Acceleration O Avg Accl = final velocity-starting velocity time it takes for velocity to change O A = vf – vi = A = Δv t t O Velocity is expressed in m/s and time is expressed in s. O Therefore, acceleration is expressed in meters per second per second (m/s/s) or m/s2 Calculating Acceleration 0:01 1 m/s 0:02 2 m/s Equation: Calculation: 0:03 3 m/s 0:04 4 m/s 0:05 5 m/s Acceleration Problems O A skater goes from a standstill to a speed of 6.7 m/s in 12 seconds. What is the acceleration of the skater? O A plane passes point A at a velocity of 240 m/s north. Forty seconds later, it passes point B at a velocity of 260 m/s north. What is the planes average acceleration? Centripetal Acceleration O Centripetal Acceleration- the acceleration that occurs in a circular motion. O Ex: ferris wheel, the moon’s orbit 5.2 Forces O A force is a push or pull that causes a resting object to move, or it can accelerate a moving object by changing its speed or direction. O Unit = Newton (N) O 1 kg m/s2 O Combination of all forces acting on an object is called the net force. Types of Forces O Balanced Force O When the forces on an object are balanced, the net force on an object is zero and there is no change in the object’s motion. O Unbalanced force O When the forces on an object are unbalanced, there is a net force and the object accelerates. Calculating Net Force O Forces in the same direction O Add forces to determine net force Calculating Net Force O Forces in opposite directions O Subtract forces to determine net force Forces O Affect of force on moving object O Change in speed or direction O O Ex. When soccer ball is passed to another player and is kicked Affect on force on stationary object O Cause a nonmoving object to start moving. O Ex. Stationary soccer ball kicked 5.3 Friction O Friction - A force that opposes motion between two surfaces that are in contact. O Friction causes moving objects to slow down and eventually stop. O What causes friction? O When the hills and valleys of one surface come in contact with the hills and valleys of the other surface Friction O Rough surfaces have more hills and valleys than smooth surfaces do. O The rougher the surface, the greater the friction. O Ex. A soccer ball rolling on grass, verses a hockey puck on ice. O The greater the weight of the object, the greater the friction will be Types of Friction O Static Friction is the friction force that acts on a stationary object. It opposes the applied force. O Kinetic Friction is the force that opposes the direction of motion of an object as it slides over a surface. O Solid over solid Types of Kinetic Friction O Rolling Friction is the force of friction felt on rolling objects O Example: wheels and balls. O Fluid friction opposes the motion of a moving object in a fluid (gas or liquid) O Example: Air resistance Is friction helpful or harmful? O Helpful O Harmful O Movement of tires O Machine wear O Walking O Erosion O Eraser O Burns/blisters Decreasing Friction O Lubricants- Substances that are applied to surfaces to reduce the friction between the surfaces. O Ex: motor oil, wax, grease O Lubricants are usually liquids, but can be solids or gases. (Air in air-hockey) Decreasing Friction O Switching from sliding friction to rolling friction. O EX. Ball bearings are placed between the wheels and axles of skates O Make surfaces that rub against each other smoother. Gravity O Gravity is a force of attraction that acts between objects with mass. O Objects close to Earth accelerate at 9.8m/s2. O All objects fall at the same rate. Gravity O If gravity affects all objects with mass – why aren’t all objects stuck together? O Masses of most objects are too small, you can’t detect this force O Earth has a huge mass, so the gravitational force of Earth is large. It pulls everything toward the center of the Earth. – Dropped objects fall to the floor. Law of Universal Gravitation O All objects in the universe attract each other through gravitational force. O The size of the force depends on the masses of the objects and the distance between the objects. O Greater the mass the greater the force. O Smaller the distance, the greater the force. Mass vs. Weight O Mass is the amount of O Weight is a measure of matter in an object. O Unit = kilogram O Measuring device is a balance. gravitational force on an object. O Unit – Newton O Measuring device is a spring scale. O Weight = mass x gravity N = (kg) x (m/s2)