How much power is required to lift a 30.0 n chair 0.20 m in 2.0 s?
Work done = Force x displacement = 30 x 0.2 = 6J.
Power = Work done 6
------------------- = -------- = 3 W.
time 2
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The power required to lift the chair is 3 Watts.
Given the data in the question;
Power; \(P =\ ?\)
Power is simply the amount of energy transferred per unit time. It is expressed as:
\(P = \frac{W}{\delta t}\)
Where W is work done and t is elapsed time.
First we determine the work done
\(Work\ done = Force * displacement\\\\ Work\ done = mg * h\\\\Work\ done = Weight * h\\\\Work\ done = 30N * 0.20m\\\\Work\ done = 30kg.m/s^2\ *\ 0.2m\\\\Work\ done = 6kg.m^2/s^2\)
So we substitute our given values
\(Power = \frac{Work\ done}{\delta t} \\\\Power = \frac{6kg,m^2/s^2}{2s} \\\\Power = 3kg.m^2/s^3\\\\Power = 3J/s\\\\Power = 3Watt\)
Therefore, the power required to lift the chair is 3 Watts.
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