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A particle of mass m moves along the qua...

A particle of mass m moves along the quarter section of the circular parth whose centre is at the origin. The radius of the circular path is a. A force `vecF=yhati-x hatj` N acts on the particle, where x, y denote the coordinates of the position of the particle. Calculate the work done by this force in taking the particle from point A(a, 0) to point B(0, a) along the circular path.

A

`-sqrt(2)a^2J`

B

`-(pia^2)/4J`

C

`-a^2J`

D

`-(pia^2)/2J`

Text Solution

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The correct Answer is:
D
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