Asked by Lucas
Standing on Eris, a dwarf planet of raidus of 1200km, drop a rock from height of 0.30m. The rock takes 0.87s to reach the surface.
a) Calculate the value of g on Eris
b) Calculate the mass of Eris
c) Show the ratio of your altitude above any planet-to-the ratio of the same planet for when your weight is one-half your weight on the surface always equals the same expression: r:rp = sqr(2):1
a) Calculate the value of g on Eris
b) Calculate the mass of Eris
c) Show the ratio of your altitude above any planet-to-the ratio of the same planet for when your weight is one-half your weight on the surface always equals the same expression: r:rp = sqr(2):1
Answers
Answered by
Damon
(1/2) m v^2 = m g h
so v= sqrt(2 g h) at ground
v average during fall = (1/2) sqrt(2 g h)
0.3meters = v average * t = (1/2) sqrt(2 g * 0.3) * 0.87
0.6 / 0.87 = sqrt (0.6 g )
solve for g
G m M / R^2 = m g
G = 6.7*10^-11
R = 1.2 * 10^6
solve for M
so v= sqrt(2 g h) at ground
v average during fall = (1/2) sqrt(2 g h)
0.3meters = v average * t = (1/2) sqrt(2 g * 0.3) * 0.87
0.6 / 0.87 = sqrt (0.6 g )
solve for g
G m M / R^2 = m g
G = 6.7*10^-11
R = 1.2 * 10^6
solve for M
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