each figure below shows a force measured in newtons pushing on a block. if there are no other forces pushing…

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 solve for acceleration as $a=\frac{F}{m}$.

Step2: Calculate acceleration for option A

For option A, $F = 4N$ and $m = 4kg$. So, $a_A=\frac{4N}{4kg}=1m/s^2$.

Step3: Calculate acceleration for option B

For option B, $F = 1N$ and $m = 4kg$. So, $a_B=\frac{1N}{4kg}=0.25m/s^2$.

Step4: Calculate acceleration for option C

For option C, $F = 4N$ and $m = 1kg$. So, $a_C=\frac{4N}{1kg}=4m/s^2$.

Step5: Calculate acceleration for option D

For option D, $F = 1N$ and $m = 1kg$. So, $a_D=\frac{1N}{1kg}=1m/s^2$.

Answer:

C. 4 Newtons pushing on a 1 - Kilogram block