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  • Calculating Gravitational Potential: A Step-by-Step Guide
    It seems like you're trying to calculate the gravitational potential at a specific distance from the center of a planet. However, the information provided is a bit confusing. Here's a breakdown of what you've given and what's needed to solve the problem:

    What you've given:

    * Distance from the center of the planet (r): 7.2 x 10^7 m

    * Planet's radius (R): 8.55 x 10^6 m

    * An unknown value: 2.26 x 10^7 (It's unclear what this represents).

    * A potential value: -5.6 (It's unclear what this represents).

    What you need:

    * Mass of the planet (M): This is crucial for calculating gravitational potential.

    Here's how to calculate gravitational potential (V) at a distance (r) from the center of a planet:

    1. Formula:

    * V = -GM/r

    * Where:

    * G is the gravitational constant (6.674 x 10^-11 m^3 kg^-1 s^-2)

    * M is the mass of the planet (in kg)

    * r is the distance from the center of the planet (in meters)

    2. Finding the mass (M):

    * You can use the gravitational potential at the surface of the planet (-5.6 if that's the value you intended to provide) and the planet's radius to calculate the mass.

    * -5.6 = -GM/R

    * Solve for M: M = -5.6 * R / G

    3. Calculate gravitational potential (V) at the specified distance (r):

    * Use the calculated mass (M) and the provided distance (r) in the gravitational potential formula.

    Example:

    Let's assume the -5.6 is the gravitational potential at the surface of the planet.

    1. Find the mass (M):

    * M = -5.6 * (8.55 x 10^6 m) / (6.674 x 10^-11 m^3 kg^-1 s^-2)

    * M ≈ 7.17 x 10^24 kg

    2. Calculate gravitational potential (V) at r = 7.2 x 10^7 m:

    * V = - (6.674 x 10^-11 m^3 kg^-1 s^-2) * (7.17 x 10^24 kg) / (7.2 x 10^7 m)

    * V ≈ -6.68 x 10^6 J/kg

    Important Note: This calculation assumes the gravitational potential at the surface is -5.6. Make sure to verify what this value represents before proceeding.

    Please provide the correct value for the gravitational potential at the surface or the mass of the planet.

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