Question

if the net force applied to a cart is doubled, what must happen to the cart’s acceleration, assuming the mass remains constant? it doubles. it quadruples. it is halved. it remains the same.

Explanation:

Step1: Recall Newton's second law

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

Step2: Let the initial force be $F_1$ and acceleration be $a_1$, so $F_1=ma_1$. The new force $F_2 = 2F_1$ and mass remains $m$. Then $F_2=ma_2$, substituting $F_2 = 2F_1$ gives $2F_1=ma_2$. Since $F_1=ma_1$, we have $2ma_1=ma_2$.

Step3: Solve for $a_2$

Dividing both sides of $2ma_1=ma_2$ by $m$ (since $m
eq0$), we get $a_2 = 2a_1$.

Answer:

It doubles.