Use the data table to answer the question.

Question

Net force (N) Mass (kg) Acceleration (m/s2)
2.4 0.25 9.6
1.4 0.25 5.6
3.2 0.25
12.8

Which statement correctly describes the quantitative relationship between acceleration and net force on an object shown in the data table?

(1 point)
Responses

When the net force applied to an object changes, the acceleration changes by the same factor.
When the net force applied to an object changes, the acceleration changes by the same factor.

When the net force applied to an object changes, the mass of the object remains constant.
When the net force applied to an object changes, the mass of the object remains constant.

When the net force applied to an object changes, the acceleration changes by a different factor.
When the net force applied to an object changes, the acceleration changes by a different factor.

When the net force applied to an object changes, the mass of the object also changes.

Answer 1

The statement that correctly describes the quantitative relationship between acceleration and net force on an object, based on the data provided in the table, is:

When the net force applied to an object changes, the mass of the object remains constant.

This statement is accurate because, in the context of Newton's second law of motion (F = ma), the mass of the object is constant while the net force and acceleration change.

To further clarify:

• The relationship between net force (F), mass (m), and acceleration (a) can be expressed as \( a = \frac{F}{m} \).
• In the data you provided, mass (0.25 kg) is constant across different net force values, and the resulting accelerations change as expected according to this formula.

The other options are either incorrect statements or do not accurately reflect the relationship described by Newton's second law.