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Work, Power, and Machines. 9.1. A quantity that measures the effects of a force acting over a distance Work = force x distance W = Fd. Work. Work is measured in: N m Joules (J). Work. A crane uses an average force of 5200 N to lift a girder 25 m. How much work does the crane do?.
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A quantity that measures the effects of a force acting over a distance • Work = force x distance • W = Fd Work
Work is measured in: • Nm • Joules (J) Work
A crane uses an average force of 5200 N to lift a girder 25 m. How much work does the crane do? Work Example
Work = Fd • Work = (5200 N)(25m) • Work = 130000 N m = 130000 J Work Example
A quantity that measures the rate at which work is done • Power = work/time • P = W/t Power
Watts (W) is the SI unit for power • 1 W = 1 J/s Power
While rowing in a race, John uses 19.8 N to travel 200.0 meters in 60.0 s. What is his power output in Watts? Power Example
Work = Fd • Work = 19.8 N x 200.0 m= 3960 J • Power = W/t • Power = 3960 J/60.0 s • Power = 66.0 W Power Example
Help us do work by redistributing the force that we put into them • They do not change the amount of work Machines
Change the direction of an input force (ex car jack) Machines
Increase an output force by changing the distance over which the force is applied (ex ramp) • Multiplying forces Machines
A quantity that measures how much a machine multiples force or distance. Mechanical Advantage
Inputdistance Mech. Adv = Output Distance Mechanical Advantage Output Force Mech. Adv. = Input Force
Calculate the mechanical advantage of a ramp that is 6.0 m long and 1.5 m high. Mech. Adv. example
Input = 6.0 m • Output = 1.5 m • Mech. Adv.=6.0m/1.5m • Mech. Adv. = 4.0 Mech. Adv. Example
Energy 9.3-9.4
Energy is the ability to do work • whenever work is done, energy is transformed or transferred to another system. Energy and Work
Energy is measured in: • Joules (J) • Energy can only be observed when work is being done on an object Energy
the stored energy resulting from the relative positions of objects in a system Potential Energy PE
PE of any stretched elastic material is called Elastic PE • ex. a rubber band, bungee cord, clock spring PotentialEnergy PE
energy that could potentially do work on an object due to the forces of gravity. Gravitational PE
depends both on the mass of the object and the distance between them (height) Gravitational PE
grav. PE= mass x gravity x height PE = mgh or PE = wh Gravitational PE Equation
A 65 kg rock climber ascends a cliff. What is the climber’s gravitational PE at a point 35 m above the base of the cliff? PE Example
PE = mgh • PE=(65kg)(9.8m/s2)(35m) • PE = 2.2 x 104 J • PE = 22000 J PE Example
the energy of a moving object due to its motion. • depends on an objects mass and speed. Kinetic Energy
What influences energy more: speed or mass? ex. Car crashes • Speed does Kinetic Energy
KE=1/2 x mass x speed squared KE = ½ mv2 Kinetic Energy Equation
What is the kinetic energy of a 44 kg cheetah running at 31 m/s? KE Example
KE = ½ mv2 • KE= ½(44kg)(31m/s)2 • KE=2.1 x 104 J • KE = 21000 J KE Example
the sum of the KE and the PE of large-scale objects in a system • work being done Mechanical Energy
Energy that lies at the level of atoms and does not affect motion on a large scale. Nonmechanical Energy
Atoms have KE, because they are constantly in motion. • KE particles heat up • KE particles cool down Atoms
during reactions stored energy (called chemical energy)is released • So PE is converted to KE Chemical Reactions
nuclear fusion • nuclear fission • Electricity • Light Other Forms
Energy is neither created nor destroyed • Energy is transferred Conservation of Energy
PE becomes KE • car going down a hill on a roller coaster Energy Transformation
KE can become PE • car going up a hill KE starts converting to PE Energy Transformation
http://www.funderstanding.com/k12/coaster/ Physics of roller coasters