The efficiency of a machine is 90%. If $100 J$ of work is done by the effort, how much work is obtained at the load of the machine?

50 J

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60 J

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90 J

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100 J

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Solution

The correct option is C $90 J$
Given,
Efficiency $η = \frac{90}{100} = 0.9$
Work done by effort or $W_{I n p u t} = 100 J$
Work done by load ( $W_{O u t p u t}) =$ ?

We know that,
$η = \frac{W_{O u t p u t}}{W_{I n p u t}}$
$\Rightarrow W_{O u t p u t} = η \times W_{I n p u t}$
$= 0.9 \times 100$
$= 90 J$

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The efficiency of a machine is 90%. If 100 J of work is done by the effort, how much work is obtained at the load of the machine?

The correct option is C 90 JGiven, Efficiency η=90100=0.9 Work done by effort or WInput=100 J Work done by load (WOutput)=? We know that, η=WOutputWInput ⇒WOutput=η×WInput =0.9×100 =90 J

The efficiency of a machine is 90%. If $100 J$ of work is done by the effort, how much work is obtained at the load of the machine?