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 object’s mass?

○ $f = 16.1m$

○ $f = \frac{16.1}{m^2}$

○ $f = 32.2m$

○ $f = \frac{32.2}{m^2}$

Explanation:

Step1: Recall Direct Variation

Direct variation means \( F = k m \), where \( k \) is the constant of variation.

Step2: Identify \( k \)

Given \( k = 32.2 \), so substitute \( k \) into the direct variation formula.

Step3: Form the Equation

Substituting \( k = 32.2 \) into \( F = k m \), we get \( F = 32.2m \).

Answer:

\( F = 32.2m \) (corresponding to the option "F = 32.2m")