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Chapter 9 Motion and Energy MOTION •When an object changes position over time in relation to a reference point. Reference point • The object that appears to stay in place • Earth is commonly used as reference, buildings, trees • Reference point can also be moving (Earth) • Relative Motion depends on Reference Point Chapter 9 Motion and Energy - Describing Motion • Distance – Total length of the actual path between two points • Displacement – Length and direction between a straight line from starting to end point Chapter 9 Motion and Energy • Displacement is a vector – Has magnitude (size) and direction – Use arrows. Longer arrow, larger magnitude for displacement Rate at which an object moves is speed • • • • Distance/ time m/s Average speed Total distance/total time Chapter 9 Motion and Energy When an airplane travels through the air, it produces sound waves. If the plane is traveling slower than the speed of sound (the speed of sound varies, but 700 mph is typical through air), then sound waves can propagate ahead of the plane. If the plane breaks the sound barrier and flies faster than the speed of sound, it produces a sonic boom when it flies past. The boom is the "wake" of the plane's sound waves. All of the sound waves that would have normally propagated ahead of the plane are combined together so at first you hear nothing, and then you hear the boom they create. It is just like being on the shore of a smooth lake when a boat speeds past. There is no disturbance in the water as the boat comes by, but eventually a large wave from the wake rolls onto shore. When a plane flies past at supersonic speeds the exact same thing happens, but instead of the large wake wave, you get a sonic boom. • The Fastest Things on Earth • Speed of Light: 300,000 km/s or 186,000 mi/s or 670, 616, 629 mi/hr • Speed of sound: .3 km/s or 761.6 mi/hr Velocity • Speed in a certain direction (always includes a reference direction) • Rate of change of position • Is constant only if speed and direction do not change • Velocity can be combined to get resultant velocity Acceleration • Rate at which velocity changes (speed up, slow down, change direction) • Tells you how fast velocity changes Graphically, acceleration appears different than speed. Constant speed assumes a straight line and average speed may take any shape on a line graph, depending on the actual motion of the object. Acceleration appears as an upward or downward curved line: Chapter 9 Motion and Energy Both graphs show acceleration!!! acceleration • Final velocity- initial velocity time it takes to change velocity Vf t Vi m s m s s m = s = s m m 1 m s = s x s = s2 s 1 Unit for acceleration A car starts from a stoplight and is traveling with a velocity of 10 m/sec east in 20 seconds. What is the acceleration of the car? • Circular motion is acceleration due to change of direction • Centripetal acceleration We have, so far, concentrated acceleration caused by changes in an object's speed. However, acceleration is also produced by changes in the direction of an object's travel. A good example of this is objects engaged in circular motion. Consider the motion of a ferris wheel. Once you have gotten up to the normal operating speed, the ferris wheel's speed will remain constant. However, because it is moving in a circle, every movement of the device produces a change of direction. Therefore, throughout the entire ride the passengers on the ferris wheel are accelerating, even though they are traveling with constant speed. • All objects accelerate towards Earth at a rate of 9.8 m/s2 • Air resistance slows down acceleration • Fluid friction also known as air resistance • Depends on size and shape of object • Acceleration stops at terminal velocity • As objects fall, air resistance increases until air resistance = downward force of gravity • Object continues to fall, but at a constant velocity • A GREATER FORCE MUST BE APPLIED TO A GREATER MASS TO PRODUCE THE SAME ACCELERATION • F=M*A • A=F/M • Free fall means that object is falling with no other force (such as air resistance) acting on it except gravity • Astronauts appear to be weightless due to “freefall” in orbiting spacecraft Work • Is done when an object is caused to move a certain distance • The ability to do work is called energy • SI unit for both work and energy is called the Joule (J) Energy Main “forms’ of energy Mechanical Heat Chemical Nuclear Electromagnetic Electrical Mechanical energy can be either “potential” or “kinetic” Kinetic Energy • The energy an object has due to motion is called kinetic energy • “kinetos” means moving (Greek) • Kinetic energy depends on mass and speed • Speed, kinetic energy Mass, kinetic energy Chapter 9 Motion and Energy •Kinetic energy = ½ x mass x speed 2 Potential energy • Potential energy is stored, resulting from position or shape and has “potential” to do work • Potential energy related to height is “gravitational potential energy” • Depends on weight and height relative to reference point • Potential energy = weight x height Chapter 9 Motion and Energy • Potential energy of objects that can be compressed or stretched is called “elastic potential energy” • Mechanical Energy = Potential Energy + Kinetic Energy • One common transformation of energy is between potential and kinetic energy • Any object that rises or falls experiences a change in kinetic and gravitational potential energy Chapter 9 Motion and Energy • Law of conservation of energy: • Energy cannot be created or destroyed, only transformed from one type to another