An explorer of mass 75 kg lands on the Moon for a scientific survey.

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

An explorer of mass 75 kg lands on the Moon for a scientific survey. (i) Calculate the explorer’s weight on the Earth. Take the value of the acceleration due to gravity on the Earth as 9.8 m s−29.8\,\text{m\,s}^{-2}. (ii) The acceleration due to gravity on the Moon is 1.6 m s−21.6\,\text{m\,s}^{-2}. Find the explorer’s weight on the Moon. (iii) Determine the factor by which the explorer’s weight changes when moving from the Earth to the Moon. (iv) If the explorer uses a bathroom scale calibrated on the Earth, what reading (in newtons) should be expected when he stands on it on the Moon? Justify your answer briefly.

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