A new bought Air conditioning unit weighing 95.2345 lbs and was attached to the window of a four
story building ranging for about 29.4349 ft. Calculate the Gravitational Potential Energy?

To calculate the Gravitational Potential Energy (GPE) of the air conditioning unit, we can use the formula:

\[
\text{GPE} = m \cdot g \cdot h
\]

where:
- \( m \) is the mass of the object in kilograms (kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth),
- \( h \) is the height above the ground in meters (m).

Let's break down the calculation step by step:

1. **Convert the mass from pounds to kilograms**:
   - The mass in pounds (\( m \)) is given as 95.2345 lbs.
   - To convert pounds to kilograms, use the conversion factor \( 1 \, \text{lb} = 0.453592 \, \text{kg} \).
   
2. **Convert the height from feet to meters**:
   - The height (\( h \)) is given as 29.4349 feet.
   - To convert feet to meters, use the conversion factor \( 1 \, \text{ft} = 0.3048 \, \text{m} \).

Now, let's calculate:The Gravitational Potential Energy (GPE) of the air conditioning unit is approximately \( 3801.95 \, \text{J} \) (Joules).

Would you like more details, or do you have any questions? Here are some related questions you might find interesting:

1. How does the height of an object affect its gravitational potential energy?
2. What would be the GPE if the mass of the object were doubled?
3. How does changing the location (like on a different planet) affect the GPE calculation?
4. What is the significance of the acceleration due to gravity in the GPE formula?
5. How can gravitational potential energy be converted into other forms of energy?

**Tip:** Always ensure to use consistent units when applying formulas in physics, such as converting all measurements to SI units before calculating.

A new bought Air conditioning unit weighing 95.2345 lbs and was attached to the window of a four story building ranging for about 29.4349 ft. Calculate the Gravitational Potential Energy?

Learn how to calculate the gravitational potential energy of an air conditioning unit weighing 95.2345 lbs, attached to a four-story building 29.4349 feet high. The solution involves converting units and applying the gravitational potential energy formula GPE = m * g * h. Suitable for high school students in Grades 9-12.

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