the table below shows the force a student used to throw the different sports equipment twenty yards.\n|…
the table below shows the force a student used to throw the different sports equipment twenty yards.\n| sports equipment | force (n) | mass (g) |\n| ---- | ---- | ---- |\n| football | 20 n | 20 g |\n| soccer ball | 20 n | 18 g |\n| tennis ball | 20 n | 5 g |\n| golf ball | 20 n | 8 g |\nwhich statement best describes how the force and mass would affect the acceleration of the sports equipment?\nthe football would have more acceleration than the golf ball because it has more mass\nthe football would have less acceleration than the golf ball because it has more mass\nthe football would have the same acceleration as the golf ball because the student used the same amount of force\nthe football would have more acceleration than the golf ball because it has less mass
Answer
Explanation:
Step1: Recall Newton's second - law formula
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 given data
The force $F = 20N$ is the same for all sports equipment. The mass of the football is $m_{football}=20g$ and the mass of the golf ball is $m_{golf - ball}=8g$.
Step3: Compare accelerations
Since $a=\frac{F}{m}$ and $F$ is constant, the acceleration is inversely proportional to the mass. That is, the object with a smaller mass will have a larger acceleration. Since $m_{football}>m_{golf - ball}$, we have $a_{football}<a_{golf - ball}$.
Answer:
The football would have less acceleration than the golf ball because it has more mass.