Question
What is the potential energy of an object that has a mass of 115 kg and is 6 meters high? (1 point) Responses 130.8 J 130.8 J 6762 J 6762 J 1380 J 1380 J 676.2 J
Answers
GPT-4o mini
The potential energy (PE) of an object can be calculated using the formula:
\[ PE = mgh \]
where:
- \( m \) is the mass of the object (in kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)),
- \( h \) is the height (in meters).
Given:
- \( m = 115 \, \text{kg} \)
- \( h = 6 \, \text{m} \)
- \( g = 9.81 \, \text{m/s}^2 \)
Now, substituting the values into the formula:
\[ PE = 115 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 6 \, \text{m} \]
Calculating:
\[ PE = 115 \times 9.81 \times 6 \]
\[ PE = 115 \times 58.86 \]
\[ PE \approx 6762.9 \, \text{J} \]
Therefore, the potential energy of the object is approximately \( 6762 \, \text{J} \).
So, the correct response is **6762 J**.
\[ PE = mgh \]
where:
- \( m \) is the mass of the object (in kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)),
- \( h \) is the height (in meters).
Given:
- \( m = 115 \, \text{kg} \)
- \( h = 6 \, \text{m} \)
- \( g = 9.81 \, \text{m/s}^2 \)
Now, substituting the values into the formula:
\[ PE = 115 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 6 \, \text{m} \]
Calculating:
\[ PE = 115 \times 9.81 \times 6 \]
\[ PE = 115 \times 58.86 \]
\[ PE \approx 6762.9 \, \text{J} \]
Therefore, the potential energy of the object is approximately \( 6762 \, \text{J} \).
So, the correct response is **6762 J**.