Work done by a radial force with constant magnitude A particle moves along the smooth curve y = (x) from (a, (a)) to (b, (b)).

Work done by a radial force with constant magnitude A particlemoves along the smooth curve y = ƒ(x) from (a, ƒ(a)) to(b, ƒ(b)). The force moving the particle has constant magnitude kand always points away from the origin. Show that the work doneby the force is k[(b^2 + (ƒ(b))^2)^(1/2) - (a^2 + (ƒ(a))^2)^(1/2)]