Physics

To calculate the weight of the sphere at the top of the mountain, we can use the formula for gravitational force:

where:

is the gravitational force (weight),

(gravitational constant),

(mass of the sphere),

is the mass of the Earth (),

is the distance from the center of the Earth to the sphere.

First, we need to calculate . The radius of the Earth is approximately . At the top of the mountain, the distance will be:

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