Power (Edexcel A-Level Further Mathematics): Flashcards

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Power
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Definition of power

Rate of doing work or rate of energy transfer

Average power formula

P=FdtP = \frac{Fd}{t}

Instantaneous power formula

P=FvP = Fv

Unit of power

Watt (WW)

1 watt in joules per second

1 W=1 J/s1 \, \text{W} = 1 \, \text{J/s}

1 kilowatt in watts

1 kW=1000 W1 \, \text{kW} = 1000 \, \text{W}

Tractive vs resistance force at constant speed

At constant speed, tractive force equals resistance force

Force from power and velocity

F=PvF = \frac{P}{v}

Acceleration from net force

a=Fnetma = \frac{F_{\text{net}}}{m}

Net force formula

Fnet=Ftract−FresF_{\text{net}} = F_{\text{tract}} - F_{\text{res}}

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