# Work done by a radial force with constant magnitude

• Apr 26th 2009, 09:25 PM
antman
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 $\int_{c}F*T ds=k[(b^{2}+(f(b))^{2})^{1/2}-(a^{2}+(f(a))^{2})^{1/2}]$
• Apr 26th 2009, 11:56 PM
Calculus26
It's rather long so see attachment
• Apr 26th 2009, 11:58 PM
Calculus26
it might help i attached the attachment