Three Forces $\overrightarrow { \mathbf { F } }$ ₁ $\overrightarrow { \mathbf { F } }$

question 155

Multiple Choice

Three forces, $\overrightarrow { \mathbf { F } }$ ₁, $\overrightarrow { \mathbf { F } }$ ₂, and $\overrightarrow { \mathbf { F } }$ ₃, all act on an object, as shown in the figure. The magnitudes of the forces are: F₁ = 80.0 N, F₂ = 60.0 N, and F₃ = 40.0 N. The resultant force acting on the object is given by

• A)180 N at an angle of 60.0° with respect to +x-axis.
• B)60.0 N at an angle of 90.0° with respect to +x-axis.
• C)20.0 N at an angle of 34.3° with respect to +x-axis.
• D)35.5 N at an angle of 34.3° with respect to +x-axis.
• E)40.0 N at an angle of 60.0° with respect to +x-axis.

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Definitions:

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A statistical method used to compare three or more samples means by analyzing their variances.

F-statistic

A ratio used in statistical analysis to determine if there are significant differences between group means in a dataset, typically in ANOVA tests.

Null Hypothesis

A default hypothesis that there is no effect or no difference, and any observed difference is due to sampling or experimental error.