An explorer whose mass is the same everywhere reads a weight of on a spring balance…

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

Problem

An explorer whose mass is the same everywhere reads a weight of 750 N750\,\text{N} on a spring balance when standing on the Earth. On planet Y the same balance shows 300 N300\,\text{N}. The radius of planet Y is 3.5×106 m3.5\times10^{6}\,\text{m}, while the radius of the Earth is 6.4×106 m6.4\times10^{6}\,\text{m}. (a) Determine the explorer’s mass. (b) Calculate the value of the acceleration due to gravity at the surface of planet Y. (c) Hence find the mass of planet Y. (d) Compare the mass of planet Y with that of the Earth, given that the Earth’s mass is 6.0×1024 kg6.0\times10^{24}\,\text{kg}.

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