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Question: A force F = -K(y**i** + x**j**), (where K is a +ve constant) acts on a particle moving in xy plane s...

A force F = -K(yi + xj), (where K is a +ve constant) acts on a particle moving in xy plane starting from origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to y axis to the point (a, 0). The total work done by force F on the particle is

A

-2Ka2

B

2Ka2

C

-Ka2

D

Ka2

Answer

-Ka2

Explanation

Solution

Work done =

Then W1 =

and W2 =

= - Ka = -Ka2

∴ W = W1 + W2 = - Ka2