Physics

Physics

Problem

For a small spherical moon, the gravitational field strength is measured to be 0.20 N kg−10.20\,\text{N kg}^{-1} at a height of 10 km10\,\text{km} above its surface and 0.05 N kg−10.05\,\text{N kg}^{-1} at 30 km30\,\text{km} above the surface. Assuming the moon behaves as a point mass, estimate its radius. a) 20 km20\,\text{km} b) 3 km3\,\text{km} c) 10 km10\,\text{km} d) 40 km40\,\text{km}

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