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Question
gizmo disabled during predictions
make a prediction:
if we keep the fan force the same, a cart with a bigger mass will move
Step1: Recall Newton's second law
Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration.
Step2: Solve for acceleration
We can rewrite the formula as \(a=\frac{F}{m}\).
Step3: Analyze the relationship
Given that \(F\) (fan force) is constant. When \(m\) (mass of the cart) increases, since \(a\) is inversely proportional to \(m\) (\(a=\frac{F}{m}\)), the value of \(a\) (acceleration) will decrease.
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more slowly (because when force \(F\) is constant, acceleration \(a=\frac{F}{m}\) and as \(m\) increases, \(a\) decreases)