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question 5 of 20 :
select the best answer for the question.
- which statement accurately describes the relationship between mass and weight?
a. an object with twice the mass of another object will weigh four times as much.
b. an object with twice the mass of another object will weigh one - fourth as much.
c. an object with twice the mass of another object will weigh half as much.
d. an object with twice the mass of another object will weigh twice as much.
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Weight ($W$) is related to mass ($m$) by the formula $W = mg$, where $g$ is the acceleration due to gravity (constant in the same gravitational field). If mass doubles (from $m$ to $2m$), weight becomes $W'= (2m)g = 2(mg)=2W$. So an object with twice the mass weighs twice as much. Options A (quadruple), B (1/4), and C (half) are incorrect.
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D. An object with twice the mass of another object will weigh twice as much.