A particle of mass m moves along the quarter section of the circular path whose centre is at the origin. The radius of the circular path is a . A force F → = y i ^ - x j ^ 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.

Question

A particle of mass m moves along the quarter section of the circular path whose centre is at the origin. The radius of the circular path is a . A force F → = y i ^ - x j ^ 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., - 2 a 2 J, - π a 2 4 J, - a 2 J, - π a 2 2 J

MARKS App · Accepted Answer

The given tangential force opposite to the motion F ¯ t = x 2 + y 2 = a w = ∫ F t d s c o s 18 0 o - a ∫ d s = - a . π a 2 = - π a 2 2 J

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