Question

How much time does it take to perform 500 J of work at a rate of 1 KW ?

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Answer 1

Answer:

does 500 J of work in 10 minutes and B does 600 J of work in 20 minutes. The power delivered by A and B is P1 and P2 respectively. Find the relation ...

Answer 2

Given :

• Work = 500 J
• Power = 1 KW

To Find :

• The time taken

Solution :

The relation between Power , Work and time is given by ;

$\\ \star \: {\boxed{\purple{\sf{Power = \dfrac{Work\:done}{Time}}}}}$

$\\ \sf{we \: have}\begin{cases}\sf{work \: done = 500 \:J}&\\ \\ \sf{power = 1 \: KW = 1000 \: W}\\ \end{cases}$

$\\ : \implies \sf \: 1000 \: W = \dfrac{500 \: J}{Time}$

$\\ : \implies \sf \: 1000 \: W \times Time = 500 \: J$

$\\ : \implies \sf \: Time = \dfrac{500 \: J}{1000 \: W}$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{Time = 0.5 \: s}}}}} \: \bigstar$

Hence ,

• The time taken to perform 500 J of work at the rate of 1 KW is 0.5 sec.