A block of mass `""5kg""` is placed on a wedge having inclination of `37^(@)` with the horizontal coeffecient of friction between block and wedge is `0.8`. Then select the correct statement:

Options

A. Friction force between block and the wedge is `32 N`
B. Fricition force between block and the wedge is `30 N`.
C. Contact force between block and wedge is `80 N`.
D. Contact force between block and wedge is `40 N`.

Answer

B

Explanation

`f_(max)=mumgcostheta=8xx5xx10xx(4)/(5)=32`
as `f_(max)lt mgsintheta` hence
friction `=mgsintheta=5xx10xx(3)/(5)=30` Newton
and `N=mgcostheta=40N`
`rArr` Contact force `=sqrt((30)^(2)+(40)^(2))=50N`