In the figure (a) and (b) `AC` and `GF` are fixed inclined planes `BC = EF = x` and `AB = DE = y` A small block of mass `M` is rdeased from the point `A` it sides down `AC` and maches `C` with a speed `V_(C) ` The same block is relessed from rest from the point `D` it sides down `DGF` and reached the point the `F` with `V_(p) THe coefficients of kiletic friction between the block and the sarface `AC` and `DGF` are `mu` colculate `V_(C) ` and V_`(p)`

Options

A. `1.7 m//s`
B. `2.7 m//s`
C. `3.7 m//s`
D. `0.7 m//s`

Answer

A

Explanation

In both the cases work done by friction will be
`mu Mgx`
`:. (1)/(2)MV_(c)^(2) =(1)/(2)MV_(F)^(2) =Mgy -mu gx`
`:. V_(c) =V_(F)= sqrt(2gy-2 mu gx)`.