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The statement that your lunchbox has 90 thousand Joules of gravitational potential energy at the summit of Mount Everest is false. The gravitational potential energy (PE) of an object is calculated using the formula:
[ PE = m \cdot g \cdot h ]
where ( m ) is the mass of the object (in kilograms), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( h ) is the height above a reference point (in meters). At the summit of Mount Everest, the elevation is around 8,848 meters.
For a lunchbox to have 90 thousand Joules of gravitational potential energy, it would require a specific combination of mass and height. When you plug in different values for mass (the weight of the lunchbox), you can calculate the corresponding potential energy. However, not every lunchbox will reach that specific energy level, as it heavily depends on its mass. Therefore, without specifying the weight of the lunchbox or performing calculations, you cannot definitively say it has 90 thousand Joules of potential energy.
The potential energy is a function of mass and height, meaning any variation in the mass of the lunchbox will affect the total