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In which of the following cases the work done on the box will be zero

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None of the above

answer is A.

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Detailed Solution

The work done in case A will be zero as the force(

F

) and the direction of displacement are perpendicular to each other.

W = F s cos θ

where

F

is the force,

s

is the displacement,

θ

is the angle between the force and displacemet

\Rightarrow W = F s cos 90 °

\Rightarrow W = F \times s \times 0

(as

\cos 90 ° = 0

)

\Rightarrow W = 0

Case (a) has work done equal to zero because force

F

is perpendicular to the displacement.
Case (b) has positive work done because the force

F

is in the same direction as the displacement.
Case (c) has a negative work result because the force

F

is acting in the opposite direction to the displacement.

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