We can start by analyzing the relationship between potential energy and height. From the given data, we can see that when the height is doubled, the potential energy also doubles. This suggests a linear relationship between potential energy and height.
Next, let's analyze the relationship between potential energy and mass. From the given data, we can see that when the mass is doubled, the potential energy also doubles. This suggests a linear relationship between potential energy and mass.
Based on these findings, we can conclude that the relationship between potential energy, mass, and height is linear.
Looking at the given graphs (A, B, C), the graph that best represents this linear relationship is graph B. This is because the graph shows a straight line that passes through the origin (0,0), indicating a direct proportionality between potential energy, mass, and height.
Therefore, the answer is B.
The data below was recorded during an investigation of the relationship between potential energy and the mass and height of an object.
Height Data
When a 2 kg weight was lifted 3 meters above the floor, it had 58.8 Joules of potential energy.When a 2 kg weight was lifted 6 meters above the floor, its potential energy doubled.
Mass Data
When a 3 kg weight was lifted 2 meters above the floor, it had 58.8 Joules of potential energy.When a 6 kg weight was lifted 2 meters above the floor, its potential energy doubled.
Which of the following graphs BEST represents the relationship between potential energy and the mass and height of an object?
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1 point
A
B
C
1 answer