Question

In each of 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.

Force (N)

1.2

0.7

1.6

Acceleration (m/s2)

4.8

2.8

6.4

Which phrase best describes a graph that would represent the relationship shown in the table?
answers:
an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-
axis

a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-
axis

an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-
axis

a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-
axis

Answer 1

To determine the best description of the graph based on the relationship between force and acceleration provided in the table, we can look at the data:

1. When the force is 1.2 N, acceleration is 4.8 m/s²
2. When the force is 0.7 N, acceleration is 2.8 m/s²
3. When the force is 1.6 N, acceleration is 6.4 m/s²

This suggests a direct relationship between force and acceleration: as the force increases, the acceleration also increases.

For the graph:
- If we plot acceleration on the y-axis and force on the x-axis, we would expect an upward-sloping line since both variable increase together.

Therefore, the correct description is:

**an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis.**