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What is the work to be done to increase the velocity of a car from 20km/h to 40km/h if the mass of the car is 2000 kg?
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Answer:
Explanation:
Given:
To Find:
Formula used:
Now, firstly we will change its units into m/s.
⇒ Initial velocity = 20 km/h
⇒ Initial velocity = 20 × 5/18 m/s
⇒ Initial velocity = 5.56 m/s
And,
⇒ Final velocity = 40 km/h
⇒ Final velocity = 40 × 5/18 m/s
⇒ Final velocity = 11.11 m/s
Now, put the values in the formula,
⇒ Work done = 1/2mv² - 1/2mu²
⇒ Work done = 1/2 × 2000 × 11.11² - 1/2 × 2000 × 5.56²
⇒ Work done = 1/2 × 2000 × 123.45 - 1/2 × 2000 × 30.91
⇒ Work done = 1/2 × 246900 - 1/2 × 61820
⇒ Work done = 123450 - 30910
⇒ Work done = 92540 J
Hence, 92540 J work to be done to increase the velocity of a car from 20 km/h to 40 km/h.