Answer
a) $250$ newton
b) $12.5$ newton
Work Step by Step
Given\begin{equation}
F(d)=\frac{1500}{d}.
\end{equation} a) Find $F(d)$ when $d= 6$.
\begin{equation}
\begin{aligned}
F(6)&= \frac{1500}{6}\\
&=250.
\end{aligned}
\end{equation} The force to lift a boulder is $250$ newton when the distance from the fulcrum is $6$ inches.
b) Find $F(d)$ when $d= 120$. \begin{equation}
\begin{aligned}
F(120)&= \frac{1500}{120}\\
&=12.5.
\end{aligned}
\end{equation} The force to lift a boulder is $12.5$ newton when the distance from the fulcrum is $120$ inches.
