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qse 1 retest 25-26 joey says that in a go - cart race where equal force…

Question

qse 1 retest 25-26
joey says that in a go - cart race where equal force was being applied to each go - cart, he would want a heavier go - cart so that it would accelerate faster. is joeys statement correct?
yes, because the more massive object will have more force.
yes, because the more massive object will have a greater acceleration.
no, because both go - carts would have the same acceleration because they have the same force.
no, because with equal forces applied to each go - cart, the cart with the smaller mass will have a greater acceleration.

Explanation:

Step1: Recall Newton's second - law

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

Step2: Solve for acceleration

$a=\frac{F}{m}$. When $F$ is constant, as $m$ increases, $a$ decreases. That is, with equal forces applied, the object with smaller mass has greater acceleration.

Answer:

No, because with equal forces applied to each go - cart, the cart with the smaller mass will have a greater acceleration.