Question

Ratio of the mass of mars to the mass of earth is 0.107 and the ratio of the radius of mars to that of earth is 0.532. Use these ratios with the known value of the acceleration due to gravity on the surface of the earth, calculate the acceleration due to gravity on the surface of mars. What will be the weight of a human weighing 637 N on earth on mars? What will be his mass on mars? [5 points 5.

Answer 1

Concept:- here we use the formula for acceleration due to gravity on a planet surface as follows:- ***************************************************************************************************
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Concept: - here we use the formula for acceleration due to gravity on a planet surface as follows: - g_e = G M_e /R^2_e rightarrow earth g_m = GM_m/R^2_m rightarrow on mars g_m/g_e = M_m R^2_e/M_e R^2_m, Now, g_e = 9.8 m/s^2 M_m/M_e = 0.107, R_m/R_e = 0.532 so, g_m/9.8 m/s^2 = (0.107)/(0.532)^2 or, g_m = 3.705 m/s^2 - acceleration due to gravity or mars Now mg_e = 637 N or, m = 65 kg so, w_mars = mg_m = 240.8 N - weight on mars mass is same every where, so, m = 65 kg - on mars