Resolve horizontally and vertically a force `F= 8N` which makes an angle of `45^(@)` with the horizontal.

Options

A. `4sqrt(2)N` , `4sqrt(2)N`
B. `4sqrt(2)N` , `3sqrt(2)N`
C. `4sqrt(2)N` `4sqrt(3)N`
D. `2sqrt(2)N` `4sqrt(2)N`

Answer

A

Explanation

Horizonal component of F is

`F_(H)=F cos 45^(@)=(8)((1)/(sqrt2))=4sqrt(2)N`
and vertical component of F is
`F_(V)=F sin 45^(@)=(8)((1)/(sqrt2))=4sqrt(2)N`