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gizmo disabled during predictions make a prediction: if we keep the fan…

Question

gizmo disabled during predictions
make a prediction:
if we keep the fan force the same, a cart with a bigger mass will move

Explanation:

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.

Answer:

more slowly (because when force \(F\) is constant, acceleration \(a=\frac{F}{m}\) and as \(m\) increases, \(a\) decreases)