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Answer :
1540.2 J of work is needed to lift a 215 kg mass 5.65 m using a machine with a 72.5% efficiency.
Using the equation work = force distance, the amount of work completed is determined. In this instance, the formula force = mass acceleration due to gravity can be used to calculate the force necessary to raise the mass. The force is equal to (215 kg) (9.8[tex]m/s^2[/tex]) = 2107 N when the above numbers are substituted.
Work = (2107 N) (5.65 m) = 11902.55 J. The amount of work carried out by the machine is equal to the force times the distance. However, the machine's efficiency is just 72.5%, which means that only some of the energy supplied is turned into meaningful labour. By dividing the calculated work by the efficiency, we can determine the actual work completed by the machine: actual work = (11902.55 J) (0.725) = 8628.36 J.
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