the force of gravity on an object varies directly with its mass. the constant of variation due to gravity is…

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?\no f = 16.1m\no f = \\frac{16.1}{m^{2}}\no f = 32.2m\no f = \\frac{32.2}{m^{2}}

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?\no f = 16.1m\no f = \\frac{16.1}{m^{2}}\no f = 32.2m\no f = \\frac{32.2}{m^{2}}

Answer

Answer:

C. $F = 32.2m$

Explanation:

Step1: Recall direct - variation formula

The formula for direct variation is $y=kx$, where $y$ and $x$ are variables and $k$ is the constant of variation.

Step2: Identify variables and constant

In the context of force $F$ and mass $m$, $F$ is like $y$, $m$ is like $x$, and the constant of variation due to gravity $k = 32.2$.

Step3: Write the equation

Substituting into the direct - variation formula, we get $F=32.2m$.