# Math Help - Work done by a radial force with constant magnitude

1. ## Work done by a radial force with constant magnitude

A particle moves along the smooth curve y=f(x) from (a,f(a)) to (b,f(b)). The force moving the particle has constant magnitude k and always points away from the origin. Show that the work done by the force is $\int_{c}F*T ds=k[(b^{2}+(f(b))^{2})^{1/2}-(a^{2}+(f(a))^{2})^{1/2}]$

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3. it might help i attached the attachment