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a student pushes two shopping carts with the same force. one is empty, …

Question

a student pushes two shopping carts with the same force. one is empty, one is full. which statement is correct?
○ neither cart accelerates
○ the empty cart accelerates more
○ the full cart accelerates more
○ both accelerate the same

Explanation:

Step1: Recall Newton's second law

$F = ma$, where $F$ is force, $m$ is mass, and $a$ is acceleration.

Step2: Analyze the situation

The force $F$ is the same for both carts. The empty cart has less mass $m$ than the full - cart. Rearranging the formula for acceleration gives $a=\frac{F}{m}$. When $F$ is constant, a smaller $m$ results in a larger $a$.

Answer:

The empty cart accelerates more