Question

The resultant force r is related to two concurrent forces,x and y acting at right angles to one another by the formula r^2=x^2+y^2 rewrite the formula for y help plz

Answer 1

if r^2=x^2+y^2 then
y^2=r^2-x^2
y=
`√(r^2-x^2)`

Answer 2

The required formula is
`y=\pm√(r^2-x^2)`.

Explanation:

The given formula is

`r^2=x^2+y^2`

We have to rewrite this formula for y.

Subtract x² from both the sides.

`r^2-x^2=x^2+y^2-x^2`

`r^2-x^2=y^2`

Taking square root both the sides.

`\pm√(r^2-x^2)=√(y^2)`

`\pm√(r^2-x^2)=y`

Therefore the required formula is
`y=\pm√(r^2-x^2)`.