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energy required to lift up 10kg=10x9.81x4=392.4 joule. enegy produced by the engine=500 joule efficiency=392.4/500=78.48%

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Q: If an engine must do 500 joules of work to pull a 10 kg load up4 meters what is the engine's efficiency?
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The efficiency of the engine in this case is the ratio of the required work to create the change in Gravitational Potential energy to the Work done.In this case the work done is 500Jthe Change in potential energy is g*m*hh = change in height = 4mg = acceleration due to earth's gravitational field = 9.81 m/(s*s) (approx.)m = mass of load = 10kgDimensional analysis for g*m*h=PE(final) - PE(Initial)kg*(m/(s*s))*m = JComputation4m*9.81 m/(s*s)*10kg = 392.4J : This is our change in potential energyThe ratio of this to the work done by the engine is the efficiency. The efficiency is a unitless ratio since both the top and the bottom of the equation are in units of Joules.Change in PE / Work done by engine = efficiency ratio392.3J/500J = .7848The efficiency of the engine is .7848


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