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 decreases.
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 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.

1 answer

To examine the data you've provided for the force and acceleration of the toy car, let's look at the relationship:

When a force of 2.0 N is applied, the acceleration is 5.0 m/s².
When a force of 3.0 N is applied, the acceleration is 7.5 m/s².
When a force of 6.0 N is applied, the acceleration is 15.0 m/s².

To establish if there is a linear relationship, we can consider the formula from Newton’s second law of motion which states that Force (F) is equal to mass (m) times acceleration (a), or F = ma.

By analyzing the data:

From 2.0 N to 3.0 N, the increase in force is 1 N, and the increase in acceleration is 2.5 m/s².
From 3.0 N to 6.0 N, the increase in force is 3 N, and the increase in acceleration is 7.5 m/s².

From observation, when the applied force increases, the acceleration also increases, which suggests a positive correlation.

Therefore, the correct conclusion here is:

The data points will fall along a line. This shows that as the force increases, the acceleration increases.