Question

1/2mv^2+Fd=mgh solve for F

Answer 1

`F=(mgh-(1)/(2) mv^2)/(d)`

Step-by-step explanation:

Step 1: Write out equation

`(1)/(2) mv^2+Fd=mgh`

Step 2: Subtract FD on both sides

`(1)/(2) mv^2=mgh-Fd`

Step 3: Subtract mgh on both sides

`(1)/(2) mv^2-mgh=-Fd`

Step 4: Divide both sides by -d

`((1)/(2) mv^2-mgh)/(-d) =F`

Step 5: Rewrite

`F=(mgh-(1)/(2) mv^2)/(d)`