Explanation:
According Newton's 2nd Law of Motion the force [tex]F[/tex] is directly proportional to the mass [tex]m[/tex] and to the acceleration [tex]a[/tex] of a body:
[tex]F=m.a[/tex] (1)
When we talk about the force of gravity on an object (the weight) the constant acceleration is due gravity, this means:
[tex]a=g=32.2ft/s^{2}[/tex] (2)
Substituting (2) in (1):
[tex]F=m(32.2ft/s^{2})[/tex] (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:
[tex]F=32.2m[/tex]
