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On the planet "N", an astronaut projects a sphere of pure copper of radius 4.82 cm...

On the planet "N", an astronaut projects a sphere of pure copper of radius 4.82 cm and density 8.94 × 103 kg m–3 vertically downwards from the edge of a cliff with non-zero initial speed. An external monitoring device measures the kinetic energy of the sphere to be 30.2 J after it has fallen through 4.02 m and 46.8 J after 6.82 m. By energy considerations, determine the acceleration due to gravity on "N".

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