Question

Question #16656

Answer 1

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 := "mass of the object"`
  `g := "acceleration due to gravity"`
  `F := "weight"`
  now that we have defined the terms, we put them in equation form:
  `-mg = F`
  therefore,
  `m prop F`
  -
• Alternatively, we can use Newton's Law of Universal Gravitation
  again we define a few terms:
  `m := "mass of the object"`
  `M := "mass of the other object"`
  `G := "gravitational constant"`
  `r := "distance between the objects"`
  `F := "weight"`
  then,
  `-(GmM)/r^2 = F`
  again,
  `m prop F`
  -