A force given by F → = f x i ^ + f y j ^ + f z k ^ acts on a particle which moves from a , b , c to d , e , f . The work done by the force F is : (Here A 1 , A 2 , A 3 are magnitude of area bounded)

Question

A force given by F → = f x i ^ + f y j ^ + f z k ^ acts on a particle which moves from a , b , c to d , e , f . The work done by the force F is : (Here A 1 , A 2 , A 3 are magnitude of area bounded), A 1 +A 2 +A 3, A 1 - A 2 - A 3, -A 1 +A 2 -A 3, A 1 -A 2 +A 3

MARKS App · Accepted Answer

w = ∫ a b f x dx + ∫ b e f y dy + ∫ c f f z dz Now ∫ a d f x dx is positive since f x > 0 and d > a ∫ b e f y dy in negative since f y > 0 ; e b ∫ c f f z dz is negative f z 0 ; f > c ∴ w = A 1 - A 2 - A 3

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