Find the north and east components of the displacement for the hikers shown in Figure 3.50.
Solution:
Refer to Figure 3-3-A for the north and east components of the displacement s of the hikers.
Considering the right triangle formed. The north component is computed as
\begin{align*}
\text{s}_{\text{north}} & = \left( 5.00 \ \text{km} \right)\sin 40^\circ \\
\text{s}_{\text{north}} & = 3.21 \ \text{km} \ \qquad \ {\color{DarkOrange} \left( \text{Answer} \right)}\\
\end{align*}Using the same right triangle, the east component is computed as follows.
\begin{align*}
\text{s}_{\text{east}} & = \left( 5.00 \ \text{km} \right)\cos 40^\circ \\
\text{s}_{\text{east}} & = 3.83 \ \text{km} \ \qquad \ {\color{DarkOrange} \left( \text{Answer} \right)}\\
\end{align*}
Advertisements
Advertisements