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Energy

Energy. Part 6 - Power. 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. Power Equations. P = Δ E/t P = W/t But, W = F Δ x, so P = F Δ x/t And Δ x/t = v, so P = Fv Δ E = change in energy t = time W = work

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Energy

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  1. Energy Part 6 - Power

  2. 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.

  3. 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

  4. Horsepower • Defined by James Watt: • The amount of work a horse can do in one second. • One horsepower = 746 Watts

  5. A 50.0 kg student climbs 5.00 m up a rope at a constant speed. if the student's power output is 200.0 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 = 12.25 s W = (490)(5) W = 2,450 J

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