Question

What is the work to be done to increase the velocity of a body from 10 m/sec to 15 m/sec if mass of the body is 100 kg?

Answer 1

Answer:

6250 J

Explanation:

Initial Velocity (u) = 10 m/sec

Final Velocity (v) = 15 m/sec

Mass (m) = 100 kg

We know that,

Work done (W)

= [(m × v²) / 2] - [(m × u²) / 2]

= ( m / 2 ) ( v² - u² )

= (100 / 2) ( 15² - 10² )

= 50( 225 - 100 )

= 50( 125 )

= 6250 J

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Answer 2

Answer:

Explanation:

Given,

Initial velocity of the body, u = 10 m/s

Final velocity of the body, v = 15 m/s

Mass of the body, m = 100 kg

To Find,

Work done, w

Formula to be used,

Work done, w = 1/2 × mv² - 1/2 × mu²

Solution,

Putting all the values, we get

w = 1/2 × mv² - 1/2 × mu²

⇒ w = 1/2 × 100 × (15)² - 1/2 × 100 × (10)²

⇒ w = 1/2 × 100 × 225 - 1/2 × 100 × 100

⇒ w = 11250 - 5000

⇒ w = 6250 J

Hence, the workdone is 6250 J.