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?F = 16.1mF =F = 32.2mF =

Answer 1

Answer: F=32.2m

Step-by-step explanation:

According Newton's 2nd Law of Motion the force
`F` is directly proportional to the mass
`m` and to the acceleration
`a` of a body:

`F=m.a` (1)

When we talk about the force of gravity on an object (the weight) the constant acceleration is due gravity, this means:

`a=g=32.2ft/s^(2)` (2)

Substituting (2) in (1):

`F=m(32.2ft/s^(2))` (3)

This means the equation that best represents the force on an object due to gravity according to its mass, among the given options is:

`F=32.2m`