A force F = 2 i ^ + b j ^ + k ^ is applied on a particle and it undergoes a displacement i ^ − 2 j ^ − k ^ . What will be the value of b , if work done on the particle is zero.

w = 0 ∴ F ⋅ S = 0 ( 2 i ^ + b j ^ + k ^ ) ⋅ ( i ^ − 2 j ^ − k ^ ) = 0 2 − 2 b − 1 = 0 b = 2 1

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PhysicsW.E.P.Calculation of workEasy2 minQB

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A force $F = 2 \hat{i} + b \hat{j} + \hat{k}$ is applied on a particle and it undergoes a displacement $\hat{i} - 2 \hat{j} - \hat{k}$ . What will be the value of $b$ , if work done on the particle is zero.

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Answer:

Solution:

$w = 0 ∴ F \cdot S = 0 (2 \hat{i} + b \hat{j} + \hat{k}) \cdot (\hat{i} - 2 \hat{j} - \hat{k}) = 0 2 - 2 b - 1 = 0 b = \frac{1}{2}$

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Calculation of work

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