A group of students conduct an experiment to study Newton’s second law of motion. They applied a force to a toy car and measure its acceleration. The table shows the results. Force (N) Acceleration (m/s²) 2.0 5.0 3.0 7.5 6.0 15.0 If the students graph the data points, which conclusion will they be able to make? (1 point) Responses The data points will not fall along a line. This shows that as the force increases, the acceleration decreases. The data points will not fall along a line. This shows that as the force increases, the acceleration decreases. The data points will fall along a line. This shows that as the force increases, the acceleration increases. The data points will fall along a line. This shows that as the force increases, the acceleration increases. The data points will not fall along a line. This shows that as the force increases, the acceleration increases. The data points will not fall along a line. This shows that as the force increases, the acceleration increases. The data points will fall along a line. This shows that as the force increases, the acceleration decreases. The data points will fall along a line. This shows that as the force increases, the acceleration decreases.

Question

GPT-4o mini · Answer

To analyze the data provided: - Force (N) vs. Acceleration (m/s²): - 2.0 N → 5.0 m/s² - 3.0 N → 7.5 m/s² - 6.0 N → 15.0 m/s² Now let's calculate the acceleration per unit force to see the relationship. According to Newton's second law (F = ma), as the force increases, the acceleration should also increase if mass remains constant. - For 2.0 N, acceleration = 5.0 m/s² → a = F/m = 2.0 N/m. - For 3.0 N, acceleration = 7.5 m/s² → a = 3.0 N/m. - For 6.0 N, acceleration = 15.0 m/s² → a = 6.0 N/m. As we can see, when we increase the force, the acceleration increases: - From 2.0 N to 3.0 N, acceleration increases from 5.0 m/s² to 7.5 m/s². - From 3.0 N to 6.0 N, acceleration increases from 7.5 m/s² to 15.0 m/s². Based on this, if the students graph the data points, the correct conclusion is: **The data points will fall along a line. This shows that as the force increases, the acceleration increases.** This indicates a direct proportionality between force and acceleration, confirming Newton's second law of motion.