A moving particle is acted upon by several forces $F_{1}$ , $F_{2}$ , $F_{3}$ ,. ect. One of the force is chosen, say $F_{2}$ , which of the following statement about $F_{2}$ will then be true.

Work done by

F_{2}

will be negative if speed of the particle decrease

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Work done by

F_{2}

will be negative if speed of the particle increases

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Work done by

F_{2}

will be equal to the work done by other forces if speed of the particle does not change

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F_{2}

is a conservative force, then work done by all other forces will be equal to change in potential energy due to force

F_{2}

when speed remains constant.

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Solution

The correct option is A Work done by $F_{2}$ will be negative if speed of the particle decrease
If the speed of particle is decreased than there will be retardation and hence acceleration is negative. So the force will be negative. As a result of which work done will be negative if speed of particle decrease.

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