Two machines are capable of doing the same amount of work. Should they have the same power?
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Answers
Answer:
Yes.
Explanation:
See, power is the rate of consumption of energy by a system or the rate at which work is done. A short and laconic way to go about identifying what to do in a case where rate is mentioned would be to look at the phenomenon occurring with respect to time. So, the rate of consumption of energy and the rate of doing work or power would remain the same given that the time period over which the systems have been observed is the same in both the cases. If you and I are both capable of doing the same amount of work over 10 seconds, the power consumed( at the intermolecular level, using ATP given that we're looking at the energy required to do the work we both are equally apt at doing.) or generated by our bodies( in the form of heat etc.) would be the same. So, the key statement that they made in the question is that both the machines are capable of doing the same amount of work which could be 2, 3, 4...x J. So, if we're looking at both the machines over the same span of time videlicet, the time in both the cases is the same, then YES.