# A person in an airplane has a mass of 74 kg and 6.6 MJ of gravitational potential energy. What is the altitude of the plane?

The altitude is

The formula for gravitational potential energy is:

where:

Solution

To see how the units cancel, refer to the following information.

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To find the altitude of the plane, you can use the formula for gravitational potential energy:

Gravitational Potential Energy = mass × gravitational acceleration × height

Rearranging the formula to solve for height:

Height = Gravitational Potential Energy / (mass × gravitational acceleration)

Given:

- Mass (m) = 74 kg
- Gravitational Potential Energy (PE) = 6.6 MJ = 6.6 × 10^6 J
- Gravitational acceleration (g) = 9.8 m/s^2

Plug in the values:

Height = (6.6 × 10^6 J) / (74 kg × 9.8 m/s^2)

Calculate the height.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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