number 8 In Bart the Census\' (Simpson Season 1, Episode 2)^3, when Bart is plac
ID: 1352721 • Letter: N
Question
number 8
In Bart the Census' (Simpson Season 1, Episode 2)^3, when Bart is placed in a gifted school one of his classmates offers him the following deal: I'll trade you the weight of a bowling ball on the eighth moon of Jupiter of my lunch for the weight of a feather on the second moon of Neptune from your lunch. After But agrees, make it clear that Bart has lost out terribly in the deal. Assume that the numerical the images order of the moons is based on their distance from their associated planet, in which case the eighth moon of Jupiter is Callisto (mass of Mc = 1.08 x 10^23 kg, radius and the second moon of Neptune is Thalassa Using m66=5.0 kg for the mass of the bowling ball and mf = 5.0 g = 3.5 x 10 kg, for the mass of a feather, use Newton's Law of Gravitation to calculate and compare the two weights. Would Bart really have gotten the wrong end of the deal? For reference, C = 6.67 x 10^-11 N m^2/kg^2.Explanation / Answer
On Callisto:
acceleration due to gravity:
g = G*Mc / rc^2
= (6.67*10^-11)*(1.08*10^23) / (2.51*10^6)^2
= 1.143 m/s^2
weight of ball = m*g
=5*1.143
= 5.72 N
On Thalassa:
acceleration due to gravity:
g = G*MT / rT^2
= (6.67*10^-11)*(3.5*10^17) / (4.1*10^3)^2
= 1.389 m/s^2
weight of feather= m*g
=5*10^-3*1.389
= 6.94*10^-3 N
Please compare them
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