Solve Applied Problems Involving Vectors
-Two Forces $\mathbf { F } _ { \mathbf { 1 } }$

question 146

Multiple Choice

Solve Applied Problems Involving Vectors
-Two forces, $\mathbf { F } _ { \mathbf { 1 } }$ and $\mathbf { F } _ { \mathbf { 2 } }$ , of magnitude 60 and 70 pounds, respectively, act on an object. The direction of $\mathbf { F } _ { \mathbf { 1 } }$ is $\mathrm { N } 40 ^ { \circ } \mathrm { E }$ and the direction of $\mathrm { F } _ { 2 }$ is $\mathrm { N } 40 ^ { \circ } \mathrm { W }$ . Find the magnitude and the direction angle of the resultant force. Express the direction angle to the nearest tenth of a degree.

• A) \(\| \mathrm { F } \| = 99.37 ; \quad \theta = 93.7 ^ { \circ }\)
• B) \(| \mathbf { F } | = 92.20 ; \quad \theta = 89.4 ^ { \circ }\)
• C) \(\mid \mathbf { F } \| = 92.20 ; \theta = 80 ^ { \circ }\)
• D) \(| F | = 94.63 ; \theta = 87.2 ^ { \circ }\)

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Definitions:

Suicide Attempt

An act with the intention of causing one's own death, which does not result in death.

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The act of consuming beverages that contain ethanol, commonly known as alcohol, which can affect the nervous system and lead to changes in behavior, mood, and physiology.

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The deliberate act of one committing suicide.

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