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 = 16.1m
F =
F = 32.2m
F =

Answer 1

F = 32.2m

Explanation:

The equation that represents the force on an object due to gravity is

$F=mg$

where

m is the mass of the object

g is the acceleration due to gravity

In this problem, the acceleration due to gravity is $g=32.2 ft$, so if we substitute this value into the previous equation, we obtain

$F=m(32.2)=32.2 m$

Answer 2

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

Constant of variation due to gravity = 32.2 feet per sec².

As we know that "The fore of gravity on an object varies with its mass".

So, According to statement,

$F=mg\\\\\text{ here, m denotes object's mass and g denotes gravity }\\\\\text{ F denotes the force on an object due to gravity according to m}$

Substituting the value of g , we get,

$F=32.2m$

Hence, Third option is correct.