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cca 2 retest possible points 5.56 joey says that in a go - cart race wh…

Question

cca 2 retest
possible points 5.56
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?
a yes, because the more massive object will have a greater acceleration.
b yes, because the more massive object will have more force.
c no, because both go - carts would have the same acceleration because they have the same force.
d 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

Newton's second - law is $F = ma$, where $F$ is force, $m$ is mass, and $a$ is acceleration. We can rewrite it as $a=\frac{F}{m}$.

Step2: Analyze the relationship

Given that $F$ is constant (equal force applied to each go - cart), when $m$ increases, $a$ decreases. That is, a lighter (smaller mass) object will have a greater acceleration when the force is the same.

Answer:

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