In each of the three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force. The table is as follows: Force(N): 1.2 Acceleration (m/s^2): 4.8, Force(N):0.7 Acceleration (m/s^2): 2.8, Force(N): 1.6 Acceleration (m/s^2): 6.4

Question

Which phrase best descriibes a graph that would represent the relationship shown in the table?

Answer 1

The relationship between the force applied to the mobile and the resulting acceleration can be described using Newton's second law of motion, which states that force is equal to mass times acceleration (F = m*a). In this case, we can also express this relationship as acceleration (a) being directly proportional to the force (F) applied (a = F/m).

Given the data in the table, when the force increases, the acceleration also increases. Therefore, if we were to graph this relationship with force on the x-axis and acceleration on the y-axis, we would expect to see a straight line that passes through the origin (0,0), indicating a direct proportional relationship.

In summary, the best phrase to describe the graph that would represent the relationship shown in the table is: "A straight line passing through the origin, indicating direct proportionality between force and acceleration."