he Helios Prototype (HP01) robotic aircraft which is an unmanned aircraft with solar power has reached a height of 96 863 feet or 29523.8424 m above sea level with a weight of almost 600 kg has made history as a non- rocket powered aircraft that has been successfully flown.

Calculate the gravitational potential energy of this Helios Prototype (HP 01) aircraft at an altitude of 29,500m using the formula, Potential energy = mgh , (g = 10ms ̄²)

To calculate the gravitational potential energy of the Helios Prototype (HP01) aircraft at an altitude of 29,500 meters, we use the formula:

\[
\text{Potential Energy (PE)} = mgh
\]

Where:
- \( m \) is the mass of the aircraft,
- \( g \) is the acceleration due to gravity, and
- \( h \) is the height above sea level.

Given:
- Mass (\( m \)) = 600 kg
- Gravity (\( g \)) = \( 10 \, \text{m/s}^2 \)
- Height (\( h \)) = 29,500 m

Now, substitute the values into the formula:

\[
\text{PE} = 600 \times 10 \times 29,500
\]

\[
\text{PE} = 600 \times 295,000
\]

\[
\text{PE} = 177,000,000 \, \text{Joules (J)}
\]

So, the gravitational potential energy of the Helios Prototype (HP01) at an altitude of 29,500 meters is **177,000,000 Joules**.

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Would you like more details or have any other questions? 

Here are 8 related questions to consider:

1. How does the gravitational potential energy change if the altitude increases?
2. What would the potential energy be if the mass of the aircraft were doubled?
3. How does the value of \( g \) affect the gravitational potential energy calculation?
4. How is gravitational potential energy related to kinetic energy in flight dynamics?
5. What is the significance of using \( g = 10 \, \text{m/s}^2 \) instead of \( 9.8 \, \text{m/s}^2 \)?
6. What are some other applications of gravitational potential energy in aerospace?
7. How would the potential energy change if the aircraft were at sea level?
8. How does the potential energy relate to the total energy budget of an aircraft?

**Tip:** When calculating potential energy for large altitudes, remember that the value of \( g \) slightly decreases with altitude, though it is often approximated as constant for simplicity.

Learn how to calculate the gravitational potential energy of the Helios Prototype (HP01) aircraft at an altitude of 29,500 meters using the formula PE = mgh. Given the mass of the aircraft and the acceleration due to gravity, compute the potential energy in joules (J).

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