To determine which two line graphs are correct according to the table of results, we need to analyze the relationship between the variables: mass, height, and potential energy.
Line graph 1: Potential Energy vs. Mass
In this graph, we plot the potential energy on the y-axis and mass on the x-axis.
Line graph 2: Potential Energy vs. Height
In this graph, we plot the potential energy on the y-axis and height on the x-axis.
Now, let's compare the values in the table and determine which line graphs accurately represent the relationship between the variables.
From the table:
For object 1:
Mass = 10 kg
Height = 5 m
Potential Energy = 490 J
For object 2:
Mass = 10 kg
Height = 10 m
Potential Energy = 980 J
For object 3:
Mass = 10 kg
Height = 15 m
Potential Energy = 1,470 J
For object 4:
Mass = 20 kg
Height = 10 m
Potential Energy = 1,960 J
For object 5:
Mass = 30 kg
Height = 10 m
Potential Energy = 2,940 J
For object 6:
Mass = 40 kg
Height = 10 m
Potential Energy = 3,920 J
Based on these values:
In line graph 1, as mass increases, potential energy increases. This is shown by object 1 having a lower potential energy (490 J) compared to object 2 (980 J). However, object 2 has the same mass as object 1, but its potential energy is higher.
In line graph 2, as height increases, potential energy increases. This is shown by object 1 having a lower potential energy (490 J) compared to object 3 (1,470 J). However, object 3 has the same height as object 1, but its potential energy is higher.
Therefore, both line graphs accurately represent the relationship between the variables according to the table of results.
Question
A student drops six different objects.
object mass (kg) hight (m) potential energy (j)
1 10 5 490
2 10 10 980
3 10 15 1,470
4 20 10 1,960
5 30 10 2,940
6 40 10 3,920
show TWO line graphs are correct according to the table of results?
1 answer