Question

use the table to answer the question. study the data. which statement is true? the table shows the acceleration of an object pulled with various forces. net force (n) acceleration (m/s²) 10 5 12 6 14 7 (1 point) there is a positive correlation between net force and acceleration. the increase in net force is caused by the increase in acceleration. the increase in net force is caused by the decrease in acceleration. there is a negative correlation between net force and acceleration.

Explanation:

Step1: Analyze the relationship between net force and acceleration

As net force increases from \(10N\) to \(12N\) to \(14N\), acceleration increases from \(5\frac{m}{s^{2}}\) to \(6\frac{m}{s^{2}}\) to \(7\frac{m}{s^{2}}\).

Step2: Define positive and negative correlation

A positive correlation means that as one variable increases, the other variable also increases. A negative correlation means that as one variable increases, the other variable decreases.

Step3: Check causation

Causation (e.g., acceleration causing force change here) is not indicated by the data. The data only shows a correlation. Newton's second law \(F = ma\) (where \(m\) is constant here, so \(F\propto a\)) shows a relationship, but the table data itself just shows values changing in the same direction (correlation), not that one causes the other in the way the causation - phrased options suggest.

Answer:

There is a positive correlation between net force and acceleration.