Question

Power is more if work is performed in lesser time.Give reason?

Answer 1

Power done is equal to rate of doing work in per unit time Power=work/time Im above equation, power is directly proportional to work and invertionaly proportional to time

Answer 2

If 'p' denotes Power, 'w' denotes the work done and 't' denotes the time taken then,

$p = \frac{w}{t}$
From this we have, power 'p' is directly proportional to work done 'w'.
$p \: \alpha \: w$
And, power 'p' is inversely proportional to time 't'.

$p \: \alpha \: \frac{1}{t}$
Hence, power will be more if more work is performed in lesser time.