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CBSE Class 11-science Answered

State and prove work energy theorem.
Asked by Topperlearning User | 04 Jul, 2014, 04:50: PM
answered-by-expert Expert Answer

Work energy theorem states that the change in kinetic energy of an object is equal to the net work done on it by the net force.

Let us suppose that a body is initially at rest and a force Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.is applied on the body to displace it through Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '. along the direction of the force. Then, small amount of work done is given by
Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '. 
Also, according to Newton's second law of motion, we have

Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.
where a is acceleration produced (in the direction of force) on applying the force. Therefore, 

Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Now, work done by the force in order to increase its velocity from u (initial velocity) to v (final velocity) is given by

Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Hence, work done on a body by a force is equal to the change in its kinetic energy.
Answered by | 04 Jul, 2014, 06:50: PM

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