What is the acceleration of Earth as it moves in its circular orbit around the S
ID: 1395072 • Letter: W
Question
What is the acceleration of Earth as it moves in its circular orbit around the Sun? Hint: You will find some useful date in the table below.
anwser in m/s2
ORBITAL
RADIUS
(1011 m) ORBITAL
PERIOD
(years) RADIUS
(106 m) MASS
(1024 kg) ORBITAL
ECCENTRICITY Mercury 0.579 0.240 2.44 0.330 0.21 Venus 1.08 0.615 6.05 4.87 0.007 Earth 1.50 1.00 6.37 5.98 0.017 Mars 2.28 1.88 3.39 0.644 0.093 Jupiter 7.78 11.9 71.5 1900 0.048 Saturn 14.3 29.4 60.3 568 0.054 Uranus 28.7 83.8 25.6 86.6 0.047 Neptune 45.0 164 24.8 102 0.009 Pluto 59.1 248 1.14 0.125 0.25 Eris 100 560 2.4
Explanation / Answer
Accelaration due to gravity of earth around the sun is independent of mass of earth
gE = G*Ms/r^2
G is universal gravitational constant
Ms is the mass of the sun = 1.99*10^30 kg
r is the mean orbital radius = 1.5*10^11 m
gE = (6.67*10^-11*1.99*10^30)/((1.5*10^11)^2) = 0.00589 m/s^2
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