An object starting from rest slide on slope with 45^(@). If co-efficient of friction between object and surface is 0.3 x where x is distance covered then at what distance speed will be maximum ?

An object starting from rest slide on slope with 45^(@). If co-efficie

1.	An object starting from rest slide on slope with 45^(@). If co-efficient of friction between object and surface is 0.3 x where x is distance covered then at what distance speed will be maximum ?
Answer» Solution :Accelerationof objectparallelto slope `a= g SIN theta= mu g cos theta ` `V (dv )/(dx )= g sin theta- mu GCOS theta` `:. , (d v)/(dx ) = ( g sin 45^(@)- 0.3 XG cos 45^(@))/( v )` Fordefine valueofx when`(d v)/(dx ) = 0`thenwillbe MAXIMUM `:. , 0= g - 0.3 kg` `:. , 0.3x =1 rArrx = (1)/(0.3)= 3.33 m`