Question #16656

1 Answer
Nov 4, 2015

Answer:

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#
    -