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Energy Part 6 - Power
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Power is… …the rate at which energy is converted.
…the rate at which work is done. …P …measured in Watts (W), which is J/s.
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Power Equations P = ΔE/t P = W/t But, W = FΔx, so P = FΔx/t
And Δx/t = v, so P = Fv ΔE = change in energy t = time W = work F = force Δx = displacement v = velocity
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Horsepower Defined by James Watt:
The amount of work a horse can do in one second. One horsepower = 746 Watts
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P = FΔx/t F=mg Pt = FΔx F=(50)(9.8) 200t = (490*5) F=490 N
A 50.0 kg student climbs 5.00 m up a rope at a constant speed. if the student's power output is W, how long does it take the student to climb the rope? How much work does he do? m=50 kg Δx=5 m P=200 W t=? F=? W=? P = FΔx/t F=mg Pt = FΔx F=(50)(9.8) 200t = (490*5) F=490 N 200t = (2450) t = (2450)/200 W = FΔx t = s W = (490)(5) W = 2,450 J
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