Momentum Defined Easier to stop a compact car than a Greyhound bus

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Presentation transcript:

Momentum Defined Easier to stop a compact car than a Greyhound bus Bus has more MOMENTUM Momentum = mass X velocity Momentum = mv

Impulse Defined Forces change motion, so velocity changes If velocity changes, momentum changes Amount of momentum change depends on how long we apply the force Impulse = force X time

Impulse and Momentum Related

Conservation of Momentum “In the absence of an external force, the momentum of a system remains unchanged.” When a quantity doesn’t change, we say it is conserved Very deep meaning, connected with the idea that the Laws of Physics are unchanged if you move to a new location

Elastic Collisions

Inelastic Collisions

Energy According to Einstein, a counterpart to mass An enormously important but abstract concept Energy can be stored (coal, oil, a watch spring) Energy is something moving objects have How to deal with this idea???

Work Easiest to start with the notion of work Work = Force X Distance To lift a box from the floor, you apply a force to overcome gravity Multiply that force by the distance through which you apply the force and you calculate the amount of work accomplished

Is this Work?

Work Unit is the JOULE A Joule is a newton-meter

Power The rate at which work is done Takes more power to run up the stairs than to walk up the stairs, but the energy consumed is the same in either case

Power Unit is the WATT A Watt is a newton-meter per second Think of 100-Watt light bulb Bigger units are kilowatts and megawatts Utility sells energy in kilowatt-hours 1 KWh = 1000 Joules/second times 3600 Seconds = 3.6 X 106 Joule

Potential Energy If we lift an object from the floor into the air, it has the potential to do work for us This ability to do work is called POTENTIAL ENERGY Other forms of potential energy include the compression of a spring, the stored energy in coal or oil, the stored energy in a uranium nucleus

Potential Energy Gravitational potential energy is simple to calculate Gravitational Potential Energy = weight X height

Gravitational Potential Energy Independent of Path to get there

Kinetic Energy The energy of moving objects Kinetic Energy = 1/2 Mass X Speed2

Energy Conversion

Energy Conversion

Work-Energy Theorem Work done on an object can give the object either potential or kinetic energy or both If we do work on an object to lift it into the air, we give it potential energy If we do work on an object and set it into motion, we give it kinetic energy The work-energy theorem relates to the second case

Work-Energy Theorem If we do work on an object and set it into motion without changing the object’s potential energy, the work done appears as kinetic energy of the object

Conservation of Energy Perhaps the most important discovery of the past two centuries In the absence of external work input or output, the energy of a system remains unchanged. Energy cannot be created or destroyed. Remember from Einstein, that mass is a form of energy

Collisions Elastic Collisions conserve both momentum and kinetic energy Inelastic Collisions conserve momentum by energy is lost to heat

Machines A device that multiplies forces by taking advantage of the definition or work and the conservation of energy Work input = Work output Levers

Machines

Machines

Efficiency In many machines, some energy is lost due to friction. This may be metal-on-metal (oil the parts to reduce friction) or air resistance (energy loss moves molecules in the air faster giving them kinetic energy).

Energy Sources For the earth, there are two energy sources, the sun and radioactive decay in the earth’s interior The earth receives about 1400 Joules/meter2 each second This is 1.4 kW per square meter Recover for use in plants (burn wood) Recover from wind

Man’s Need for Power Man can generate about 75 Watts to do work Domesticated Animal about 750 Watts Machines limited by size Power plants generate electricity in the hundreds of megawatt range

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