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  • A engine of a car of mass m = 1000 Kg change its velocity from 5 m/s to 25 m/s in 5 minutes . The power (in KW) of engine is Option: 1 5<

A engine of a car of mass m = 1000 Kg change its velocity from 5 m/s to 25 m/s in 5 minutes . The power (in KW) of engine is 

Option: 1 5

Option: 2 2

Option: 3 1

Option: 4 4

Answers (1)

best_answer

As we have learned

Power expressed as the rate of change of kinetic Energy -

P= \frac{dk}{dt}

- wherein

dk \rightarrow change\: in\: kinetic\: energy

dt \rightarrow interval\: of \: time\:

 

 power = Work done / time = change in K.E / time 

Power = dk/dt

P = \frac{\frac{1}{2}m [ (25)^2-(5)^2]}{5 \times 60 }

=\frac{\frac{1}{2}\times 1000\times 600}{5\times 60} = 1000\ W

P = 1KW 

 

 

 

Posted by

Nehul

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