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Question
- if the same force acts on a small mass and a large mass, which will accelerate more? why?
Brief Explanations
According to Newton's second - law $F = ma$ (where $F$ is force, $m$ is mass, and $a$ is acceleration), when $F$ is constant, $a=\frac{F}{m}$. So, the smaller the mass $m$, the larger the acceleration $a$.
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The small mass will accelerate more. This is because according to Newton's second - law $F = ma$, when the force $F$ is the same, acceleration $a$ is inversely proportional to mass $m$. So a smaller mass results in a larger acceleration.