A student drops six different objects.
Object Mass (kg) Height (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
Which TWO line graphs are correct according to the table of result
?
Based on the given table, the correct line graphs would plot the relationship between mass and potential energy at different heights.
The correct line graphs would show an increasing trend for potential energy as mass increases, and a linear relationship between potential energy and height.
Looking at the table, we can see that:
- Object 1 has a mass of 10 kg and a potential energy of 490 J at a height of 5 m.
- Object 2 has a mass of 10 kg and a potential energy of 980 J at a height of 10 m.
- Object 3 has a mass of 10 kg and a potential energy of 1,470 J at a height of 15 m.
- Object 4 has a mass of 20 kg and a potential energy of 1,960 J at a height of 10 m.
- Object 5 has a mass of 30 kg and a potential energy of 2,940 J at a height of 10 m.
- Object 6 has a mass of 40 kg and a potential energy of 3,920 J at a height of 10 m.
From this information, we can conclude that the correct line graphs would be:
1) A line graph showing potential energy on the y-axis and mass on the x-axis, with each data point representing a different height. The line on the graph would show an increasing trend as mass increases, and each line would represent a different height.
2) A line graph showing potential energy on the y-axis and height on the x-axis, with each data point representing a different mass. The line on the graph would show a linear relationship between potential energy and height, where an increase in height results in a proportional increase in potential energy.
To determine which line graphs are correct according to the given table, we need to analyze the relationship between height and potential energy for each object.
Object 1:
Mass: 10 kg
Height: 5 m
Potential Energy: 490 J
Object 2:
Mass: 10 kg
Height: 10 m
Potential Energy: 980 J
Object 3:
Mass: 10 kg
Height: 15 m
Potential Energy: 1,470 J
Object 4:
Mass: 20 kg
Height: 10 m
Potential Energy: 1,960 J
Object 5:
Mass: 30 kg
Height: 10 m
Potential Energy: 2,940 J
Object 6:
Mass: 40 kg
Height: 10 m
Potential Energy: 3,920 J
Now let's create the line graphs:
Line Graph 1: Height vs. Potential Energy
On the x-axis, we plot the height (m), and on the y-axis, we plot the potential energy (J).
Points for the graph:
Object 1: (5, 490)
Object 2: (10, 980)
Object 3: (15, 1,470)
Object 4: (10, 1,960)
Object 5: (10, 2,940)
Object 6: (10, 3,920)
Line Graph 2: Mass vs. Potential Energy
On the x-axis, we plot the mass (kg), and on the y-axis, we plot the potential energy (J).
Points for the graph:
Object 1: (10, 490)
Object 2: (10, 980)
Object 3: (10, 1,470)
Object 4: (20, 1,960)
Object 5: (30, 2,940)
Object 6: (40, 3,920)
Based on the given data, Line Graph 1 (Height vs. Potential Energy) and Line Graph 2 (Mass vs. Potential Energy) would be correct representations of the relationship between height/mass and potential energy.