A body of mass m is pushed with the initial velocity `v_0` up an inclined plane set at an angle `alpha` to the horizontal. The friction coefficient is equal to k. What distance will the body cover before it stops and what work do the friction forces perform over this distance?

Explanation

`K_1+U_1=K_2+U_2+W_f` [`W_f=fd`]
`(1)/(2)mv_0^2=mgdsintheta+mumgcosthetad`
`d=(v_0^2)/(2g(sintheta+mucostheta))`
work done by friction
`W_f^(')=-W_f=-mumgcosthetad`
`=-(mumgcosthetav_0^2)/(2g(sintheta+mucostheta))`
`=-(mumv_0^2)/(2(tantheta+mu))`