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Question
in the game, if two objects have different masses but the same force is applied, which will have a higher acceleration? neither will accelerate. both will have the same acceleration. the object with more mass. the object with less mass.
Step1: Recall Newton's second - law
Newton's second - law is $F = ma$, where $F$ is force, $m$ is mass, and $a$ is acceleration. We can rewrite it as $a=\frac{F}{m}$.
Step2: Analyze the relationship
Given that $F$ is the same for two objects. Since $a=\frac{F}{m}$, when $F$ is constant, $a$ and $m$ are inversely proportional. That is, the smaller the mass $m$, the larger the acceleration $a$.
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The object with less mass.