Answer:
[tex]F=\frac{mgh-\frac{1}{2} mv^2}{d}[/tex]
Explanation:
Step 1: Write out equation
[tex]\frac{1}{2} mv^2+Fd=mgh[/tex]
Step 2: Subtract FD on both sides
[tex]\frac{1}{2} mv^2=mgh-Fd[/tex]
Step 3: Subtract mgh on both sides
[tex]\frac{1}{2} mv^2-mgh=-Fd[/tex]
Step 4: Divide both sides by -d
[tex]\frac{\frac{1}{2} mv^2-mgh}{-d} =F[/tex]
Step 5: Rewrite
[tex]F=\frac{mgh-\frac{1}{2} mv^2}{d}[/tex]
