Spike Claims That Dimensional Analysis Shows That the Correct Expression $\vec{v}_{f}-\vec{v}_{i}$

question 18

Multiple Choice

Spike claims that dimensional analysis shows that the correct expression for change in velocity is $\vec{v}_{f}-\vec{v}_{i}$ , is $\overrightarrow{\mathrm{v}}_{f}-\overrightarrow{\mathrm{v}}_{i}=\frac{m t}{F}$ , where m is mass, t is time, and F is the magnitude of force. Carla says that can't be true because the dimensions of force are $\left[\frac{\mathrm{ML}}{\mathrm{~T}^{2}}\right]$ . Which one, if either, is correct?

• A)Spike, because \([\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{ML}}{\mathrm{~T}}\right]\) .
• B)Spike, because \([\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{T}^{2}}{\mathrm{~L}}\right]\) .
• C)Carla, because \([\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{L}}{\mathrm{~T}}\right]\) .
• D)Carla, because \([\overrightarrow{\mathrm{V}}]=\left[\frac{\mathrm{L}}{\mathrm{MT}}\right]\) .
• E)Spike, because the dimensions of force are \([\overrightarrow{\mathrm{F}}]=\left[\frac{\mathrm{T}^{2}}{\mathrm{ML}}\right]\) .

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Definitions:

Connectionist Models

Computational models in cognitive science that simulate the neural connections in the brain, emphasizing parallel processing of information.

Central Processor

A term relating to the central executive in Baddeley and Hitch’s model of working memory, involved in reasoning, decision making, and updating and manipulating the contents of working memory.

Evolutionary Psychologists

Specialists in a field that applies evolutionary theory to understand the human mind and behavior, focusing on how evolutionary principles explain psychological traits.

Cognitive System

A system of mental processes that includes perception, memory, judgment, and reasoning, responsible for thought and learning.