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

Answer

Explanation:

Step1: Recall direct - variation formula

The formula for direct variation is $y = kx$, where $k$ is the constant of variation. In the context of force $F$ and mass $m$ due to gravity, $F$ is the dependent variable (like $y$), $m$ is the independent variable (like $x$), and the constant of variation $k$ is the acceleration due to gravity.

Step2: Substitute values

Given that the constant of variation due to gravity $k = 32.2$ feet per second squared, substituting into the direct - variation formula $F=km$, we get $F = 32.2m$.

Answer:

C. $F = 32.2m$