A block is released from rest from a height `h=5m`. After travelling through the smooth curved surface it moves on the rough horizontal surface through a length `1=8m` and climbs onto the other smooth curved surface through a height `h^'`. If `mu=0.5`, find `h^'`.

Options

A. 2m
B. 3m
C. 1m
D. zero

Answer

C

Explanation

`w_(N)=0`
`w_("fr")=-mughl`
`w_("gravity")=mg(h-h')`
`DeltaKE=0`
`therefore -mu mgl+mg(h-h')=0`
`therefore h'=h-mul=5xx(1)/(2)xx8=1m`