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

Explanation:

Step1: Recall direct variation formula

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

Step2: Substitute the given constant

Given \( k = 32.2 \), so \( F = 32.2m \).

Answer:

\( F = 32.2m \) (the option with this equation)