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?\
\\(\bigcirc\\) \\(f = 16.1m\\)\
\\(\bigcirc\\) \\(f = \frac{16.1}{m^2}\\)\
\\(\bigcirc\\) \\(f = 32.2m\\)

Explanation:

Step1: Recall direct variation formula

Direct variation is expressed as $F = km$, where $k$ is the constant of variation.

Step2: Substitute given constant

The constant $k = 32.2$, so substitute into the formula.
$F = 32.2m$

Answer:

C. $F = 32.2m$