An asteroid of mass is approximately spherical and may be treated as a point mass for…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

An asteroid of mass 4.0×1015 kg4.0\times10^{15}\,\text{kg} is approximately spherical and may be treated as a point mass for points outside its surface. (i) Calculate the magnitude of the gravitational field intensity at a point 200 m200\,\text{m} from its centre. (ii) Determine the field intensity at a point 400 m400\,\text{m} from the centre. (iii) Find the ratio of the answers obtained in parts (i) and (ii) and comment on the result.

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