Project ID:
7200000098
Accepted:
Type:
Layout:
Question:
Given two forces, $F_1$ and $F_2$, and the angle $\varphi$ between them, match this information with the magnitude of the resultant force $F$, rounded to two decimal places. Use the blue guides in the picture.
Unfolding Image:
Questions Title:
$F_1$, $F_2$, $\varphi$
Answers Title:
$F$
Question 1:
\begin{aligned}
F_1&=5 \,\mathrm{N}\cr
F_2&=15\,\mathrm{N}\cr
\varphi&=\frac{\pi}{4}
\end{aligned}
Answer 1:
$$18.87\,\mathrm{N}$$
Question 2:
\begin{aligned}
F_1&=20 \,\mathrm{N}\cr
F_2&=7\,\mathrm{N}\cr
\varphi&=\frac{5\pi}{6}
\end{aligned}
Answer 2:
$$14.37\,\mathrm{N}$$
Question 3:
\begin{aligned}
F_1&= 8\,\mathrm{N}\cr
F_2&=12\,\mathrm{N}\cr
\varphi&=\frac{\pi}{3}
\end{aligned}
Answer 3:
$$17.44\,\mathrm{N}$$
Question 4:
\begin{aligned}
F_1&=8 \,\mathrm{N}\cr
F_2&=6\,\mathrm{N}\cr
\varphi&=90^\circ
\end{aligned}
Answer 4:
$$10.00\,\mathrm{N}$$
Question 5:
\begin{aligned}
F_1&=20 \,\mathrm{N}\cr
F_2&=20\,\mathrm{N}\cr
\varphi&=130^\circ
\end{aligned}
Answer 5:
$$16.90\,\mathrm{N}$$
Question 6:
\begin{aligned}
F_1&= 10\,\mathrm{N}\cr
F_2&=7\,\mathrm{N}\cr
\varphi&=30^\circ
\end{aligned}
Answer 6:
$$16.44\,\mathrm{N}$$
Answer 7:
$$10.58\,\mathrm{N}$$
Answer 8:
$$12.00\,\mathrm{N}$$