Forces | math4u.vsb.cz

Submitted by vladimir.arzt on Thu, 11/07/2024 - 15:31

Project ID:

7200000098

Accepted:

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Question:

Given two forces,

F_{1}

and

F_{2}

, and the angle

φ

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}

,

ϕ

Answers Title:

F

Question 1:

\begin{aligned} F_{1} & = 5 N \\ F_{2} & = 15 N \\ φ & = \frac{π}{4} \end{aligned}

Answer 1:

18.87 N

Question 2:

\begin{aligned} F_{1} & = 20 N \\ F_{2} & = 7 N \\ φ & = \frac{5 π}{6} \end{aligned}

Answer 2:

14.37 N

Question 3:

\begin{aligned} F_{1} & = 8 N \\ F_{2} & = 12 N \\ φ & = \frac{π}{3} \end{aligned}

Answer 3:

17.44 N

Question 4:

\begin{aligned} F_{1} & = 8 N \\ F_{2} & = 6 N \\ φ & = 90^{\circ} \end{aligned}

Answer 4:

10.00 N

Question 5:

\begin{aligned} F_{1} & = 20 N \\ F_{2} & = 20 N \\ φ & = 130^{\circ} \end{aligned}

Answer 5:

16.90 N

Question 6:

\begin{aligned} F_{1} & = 10 N \\ F_{2} & = 7 N \\ φ & = 30^{\circ} \end{aligned}

Answer 6:

16.44 N

Answer 7:

10.58 N

Answer 8:

12.00 N