Question

What is the work to be done to increase the velocity of a body from 2 m/s to 5 m/s, if the mass of the body is 2kg​

Answer 1

Answer:

the change in kinetic energy is equal to the work done on the object

Explanation:

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Answer 2

Given :

Mass (m) = 2 Kg

Initial velocity (u) = 2 m/sec

Final Velocity (v) = 5 m/sec

To Find :

Work Done

Solution :

According to Work-Energy Theorem,

    Work Done = Change in Kinetic Energy

or,  Work Done = Final Kinetic energy - Initial Kinetic Energy

or,  Work Done = $\frac{1}{2} mv^2 - \frac{1}{2} mu^2$

or,  Work Done = $\frac{1}{2}$×2×5² - $\frac{1}{2}$×2×2²

or,  Work Done = 25 - 4

or,  Work Done = 21 J

Therefore, the work done in increasing the velocity of the body is 21 J.