Question #16656

Nov 4, 2015

Mass and weight are directly proportional to each other.
Weight increases as mass increases.
Weight decreases as mass decreases.

Explanation:

• First we define a few terms:
$m : = \text{mass of the object}$
$g : = \text{acceleration due to gravity}$
$F : = \text{weight}$
now that we have defined the terms, we put them in equation form:
$- m g = F$
therefore,
$m \propto F$
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• Alternatively, we can use Newton's Law of Universal Gravitation
again we define a few terms:
$m : = \text{mass of the object}$
$M : = \text{mass of the other object}$
$G : = \text{gravitational constant}$
$r : = \text{distance between the objects}$
$F : = \text{weight}$
then,
$- \frac{G m M}{r} ^ 2 = F$
again,
$m \propto F$
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