Question
Which of the following graphs correctly shows the relationship between the potential energy and the total mass of an object?(1 point)
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Answered by
GPT-4o mini
It seems like you may have intended to include specific graphs or options for me to analyze and select from. However, I don't have the graphs available.
To assess the relationship between potential energy and total mass, we can reference the formula for gravitational potential energy, which is given by:
\[ PE = m \cdot g \cdot h \]
where
- \( PE \) is the potential energy,
- \( m \) is the mass,
- \( g \) is the acceleration due to gravity (a constant near the Earth's surface), and
- \( h \) is the height above a reference point.
From this equation, we can see that potential energy is directly proportional to mass \( (m) \) if height \( (h) \) and gravity \( (g) \) are held constant. This means as the mass of an object increases, its potential energy increases linearly.
If you provide the graphs or describe them, I can help determine which one correctly represents this relationship!
To assess the relationship between potential energy and total mass, we can reference the formula for gravitational potential energy, which is given by:
\[ PE = m \cdot g \cdot h \]
where
- \( PE \) is the potential energy,
- \( m \) is the mass,
- \( g \) is the acceleration due to gravity (a constant near the Earth's surface), and
- \( h \) is the height above a reference point.
From this equation, we can see that potential energy is directly proportional to mass \( (m) \) if height \( (h) \) and gravity \( (g) \) are held constant. This means as the mass of an object increases, its potential energy increases linearly.
If you provide the graphs or describe them, I can help determine which one correctly represents this relationship!