9. complete the following statements based on the data you collected above:

if the mass and radius are constant, but the velocity increases, the centripetal force
____________________.

if the velocity and radius are constant, but the mass increases, the centripetal force
____________________.

if the velocity and mass are constant, but the radius increases, the centripetal force
____________________.

Question

9. complete the following statements based on the data you collected above:

if the mass and radius are constant, but the velocity increases, the centripetal force
____________________.

if the velocity and radius are constant, but the mass increases, the centripetal force
____________________.

if the velocity and mass are constant, but the radius increases, the centripetal force
____________________.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Uniform Circular Motion", "Centripetal Force" ], "new_concepts": [], "current_concepts": [ "Uniform Circular Motion", "Centripetal Force" ] } ## Identify the governing formula $$ F_c = \frac{m v^2}{r} $$ ## Analyze the proportionalities $$ \begin{aligned} &F_c \propto v^2 \quad (\text{for constant } m, r) \ &F_c \propto m \quad (\text{for constant } v, r) \ &F_c \propto \frac{1}{r} \quad (\text{for constant } v, m) \end{aligned} $$ ## Determine the effect on centripetal force $$ \begin{aligned} &v \uparrow \implies F_c \uparrow \quad (\text{increases}) \ &m \uparrow \implies F_c \uparrow \quad (\text{increases}) \ &r \uparrow \implies F_c \downarrow \quad (\text{decreases}) \end{aligned} $$ 9. Complete the following statements based on the data you collected above: If the mass and radius are constant, but the velocity increases, the centripetal force increases. If the velocity and radius are constant, but the mass increases, the centripetal force increases. If the velocity and mass are constant, but the radius increases, the centripetal force decreases. { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Physics", "Centripetal Force" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the governing formula

Analyze the proportionalities

Determine the effect on centripetal force

Answer: