3 A particle of mass 13 kg is on a rough plane inclined at an angle of \(\theta\) to the horizontal, where \(\tan \theta = \frac { 5 } { 12 }\). The coefficient of friction between the particle and the plane is 0.3 . A force of magnitude \(T \mathrm {~N}\), acting parallel to a line of greatest slope, moves the particle a distance of 2.5 m up the plane at a constant speed. Find the work done by this force.