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?

Question

F = 16.1m
F = F equals StartFraction 16.1 Over m squared EndFraction.
F = 32.2m
F = F equals StartFraction 32.2 Over m squared EndFraction.

Answer 1

The force of gravity on an object (F) is directly proportional to its mass (m). According to the problem, the constant of variation due to gravity is 32.2 feet per second squared. This means that the force of gravity can be expressed with the equation:

\[ F = 32.2m \]

So the correct equation that represents the force on an object due to gravity according to its mass is:

F = 32.2m