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  • Understanding Earth's Gravity: Calculating Your Weight & Force
    Force of Earth's Pull on You:

    The force with which the Earth pulls you towards its center is known as your weight. It is determined by your mass and the gravitational field strength of the Earth. The formula to calculate your weight is:

    ```

    Force of Gravity (Weight) = Mass (m) × Gravitational Acceleration (g)

    ```

    where:

    - m is your mass in kilograms (kg).

    - g is the acceleration due to gravity on Earth, which is approximately 9.8 meters per second squared (m/s²).

    For example, if you have a mass of 70 kg, your weight on Earth would be:

    ```

    Weight = 70 kg × 9.8 m/s² = 686 Newtons (N)

    ```

    Therefore, the Earth pulls you with a force of approximately 686 Newtons. This force is what keeps you anchored to the ground and prevents you from floating away into space.

    Force of Your Pull on Earth:

    According to Newton's Third Law of Motion, every action has an equal and opposite reaction. Therefore, as the Earth pulls you towards its center, you also exert an equal and opposite force on the Earth. The force with which you pull the Earth is known as the normal force or contact force.

    The normal force is equal to your weight, but it acts in the opposite direction. In other words, you push the Earth away from you with the same amount of force that the Earth pulls you towards it. However, the Earth's enormous mass means that this small force you exert has negligible effects compared to the overwhelming force of Earth's gravity on you.

    While you may not be able to move the Earth noticeably with your physical strength, it's important to recognize the reciprocal nature of gravitational forces and the interplay of forces in the universe.

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