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Question

Under what conditions is the work done i) maximum and ii) minimum?

A

i) When force and displacement are parallel to each other and ii) When force and displacement are at 1800 to each other.

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B

i) When force and displacement are parallel to each other and ii) When force and displacement are at perpendicular to each other.

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C

i) When force and displacement are perpendicular to each other and ii) When force and displacement are parallel to each other.

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D

i) When force and displacement are at 1800 to each other and ii) When force and displacement are parallel to each other.

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E

i) When force and displacement are at 450 to each other and ii) When force and displacement are perpendicular to each other.

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Solution

The correct option is B i) When force and displacement are parallel to each other and ii) When force and displacement are at perpendicular to each other. i) Work done is maximum when Force & Displacement are in the same direction as θ = 0, implying W = FS Cos(0) = FS ii) Work done is minimum when the Force & Displacement are perpendicular to each other. W = FSCosθ = FSCos90 = FS(0) = Zero

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