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17. a given net force propels an object along a straight - line path. i…

Question

  1. a given net force propels an object along a straight - line path. if the net force were doubled, its acceleration would

a) quadruple.
b) double.
c) stay the same.
d) be half.
e) none of the above

Explanation:

Step1: Recall Newton's second - law

According to Newton's second - law, $F = ma$, where $F$ is the net force, $m$ is the mass of the object, and $a$ is the acceleration. We can express acceleration as $a=\frac{F}{m}$.

Step2: Analyze the change in force

Let the initial force be $F_1$ and the initial acceleration be $a_1$, so $a_1=\frac{F_1}{m}$. If the net force is doubled, i.e., $F_2 = 2F_1$. Then the new acceleration $a_2=\frac{F_2}{m}=\frac{2F_1}{m}$.

Step3: Compare the accelerations

Since $a_1=\frac{F_1}{m}$ and $a_2=\frac{2F_1}{m}$, we can see that $a_2 = 2a_1$.

Answer:

B. double