A newly discovered planet, Z-X

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

Problem

A newly discovered planet, Z-X, is found to have a radius of

4.0\times10^{6}\,\text{m}

. Sensitive instruments placed on its surface show that objects there experience an acceleration due to gravity of

12\,\text{m/s}^2

. (a) Calculate the mass of planet Z-X. (b) What would be the weight of a

60\,\text{kg}

astronaut standing on the surface of Z-X? (c) Would the astronaut’s mass change on moving from Earth to Z-X? Explain briefly.