the force of gravity on an object varies directly with its mass. the constant of variation due to gravity is 32.2 feet per second squared. which equation represents $f$, the force on an object due to gravity according to $m$, the objects mass?

$f = 16.1m$
$f = \frac{16.1}{m^2}$
$f = 32.2m$
$f = \frac{32.2}{m^2}$

Question

the force of gravity on an object varies directly with its mass. the constant of variation due to gravity is 32.2 feet per second squared. which equation represents \$f\$, the force on an object due to gravity according to \$m\$, the objects mass?

\$f = 16.1m\$
\$f = \frac{16.1}{m^2}\$
\$f = 32.2m\$
\$f = \frac{32.2}{m^2}\$

$f = 16.1m$
$f = \frac{16.1}{m^2}$
$f = 32.2m$
$f = \frac{32.2}{m^2}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Direct Variation" ], "new_concepts": [], "current_concepts": [ "Direct Variation", "Linear Modeling" ] } ## Identify the relationship and variables $$ \begin{aligned} &\text{Relationship: } F \text{ varies directly with } m \ &\text{General equation: } F = k \cdot m \end{aligned} $$ ## Substitute the constant of variation $$ \begin{aligned} &k = 32.2 \ &F = 32.2m \end{aligned} $$

(A) $F = 16.1m$

(B) $F = \frac{16.1}{m^2}$

(C) $F = 32.2m$

(D) $F = \frac{32.2}{m^2}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Direct Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the relationship and variables

Substitute the constant of variation

Answer: