Question

what work is said to be done to increase the velocity of an car from 15 km/h to 30km/h,if the mass of car is 1000 kg?
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Answer 1

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We have been given that :-

• Initial velocity of car = 15km/h
• Final velocity of car = 30km/h
• Mass of car = 1000kg
• Work done on car = ?

We know that according to Work - Energy theorem the work done on a body is equal to change in its kinetic energy.

Thus in this case we can say that the change in kinetic energy of car will be work done on it.

Now change in kinetic energy = Final kinetic energy - Initial kinetic energy

Final kinetic energy will be :-.

$= \frac{1}{2} \times 1000 \times {30}^{2}$

$= 500 \times 900$

$= 450000j$

Initial kinetic energy will be :-

$= \frac{1}{2} \times 1000 \times {15}^{2}$

$500 \times 225$

$= 112500j$

Now change in kinetic energy will be :-

$450000 - 112500 \\ \\ = 337500j$

Therefore the work done on car is 337500 J.

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BY SCIVIBHANSHU

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