A body is moving up an inclined plane of angle with an initial kinetic energy E . The coefficient of friction between the plane and the body is u . The work done against friction before the body comes to rest is

Step-by-step solution

Acceleration of a body up a rough inclined plane a=g( + ) From equation of motion aligned v^2 & =u^2-2 a s 0 & =u^2-2 a s u^2 & =2 a s aligned Initial KE , E= 1 2 m u^2 aligned E & = 1 2 m(2 a s) s & = E m a aligned aligned & Work done W=F s & =(m g + R) E m a & =(m g + m g ) E m( + ) & =g( + ) E g( + ) =E aligned