Question

the force of gravity on an object varies directly with its mass. the constant of variation due to gravity is 32 feet per second squared. which equation represents f, the force on an object due to gravity according to m, the objects mass?
a f = 16 1m
b f = 32 2m
c f = \frac{16.1}{m}
d f = \frac{32.2}{m}

Explanation:

Step1: Recall direct variation formula

If \(y\) varies directly with \(x\), the formula is \(y = kx\), where \(k\) is the constant of variation. Here, \(F\) (force) varies directly with \(m\) (mass), so \(F=km\). Given \(k = 32\), the equation is \(F = 32m\).

Answer:

B. \(F = 32m\)