8. 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
D
3 answers
Without the option of seeing the graphs and their corresponding representations, it is not possible to determine which graph BEST represents the relationship between potential energy and the mass and height of an object.
8. 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.
what would the graph for this look llike
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.
what would the graph for this look llike
Based on the given data, we can make the following observations:
1. When the height is doubled (from 3 meters to 6 meters) for a 2 kg weight, the potential energy doubles.
2. When the mass is doubled (from 3 kg to 6 kg) for a 2 meters height, the potential energy doubles.
From these observations, we can infer that potential energy is directly proportional to both mass and height.
Therefore, the graph representing the relationship between potential energy and mass and height of an object would show a linear relationship with both variables. As mass and height increase, potential energy will also increase. The graph would start at the origin (0,0) and have a positive slope.
1. When the height is doubled (from 3 meters to 6 meters) for a 2 kg weight, the potential energy doubles.
2. When the mass is doubled (from 3 kg to 6 kg) for a 2 meters height, the potential energy doubles.
From these observations, we can infer that potential energy is directly proportional to both mass and height.
Therefore, the graph representing the relationship between potential energy and mass and height of an object would show a linear relationship with both variables. As mass and height increase, potential energy will also increase. The graph would start at the origin (0,0) and have a positive slope.
1 answer