Exercise on Gravitational Forces
Ftot = GMm/R2, Ftidal = Ftot*(dR/R),
dR = Rl - Ru
G=6.67x10-11Nm2/kg2, closest approach
for planets = |planet-earth|
Some Solar system statistics and effects on a m =
100kg man. Assume Rl-Ru=1m.
planet, object | M(kg)x1024 | distancex109m from sun for planets | Ftot (N) for closest approach | Ftidal (N) for closest approach |
mercury | 0.323 | 57.9 | 2.55e-7 | 2.75e-18 |
venus | 4.87 | 108 | 1.84e-5 | 4.4e-16 |
earth | 5.98 | 150, radius of the earth=6.38x106m |
979.9 |
1.54e-4 |
mars | 0.645 | 228 | 7.07e-7 | 9.0e-18 |
jupiter | 1900. | 778 | 3.21e-5 | 5e-17 |
saturn | 569. | 1426 | 2.33e-6 | 1.8e-18 |
uranus | 86.7 | 2868 | 7.83e-8 | 2.9e-20 |
neptune | 103. | 4494 | 3.64e-8 | 8.4e-21 |
pluto | 0.36? | 5900 | 9.64e-10 | 1.2e-22 |
sun | 1.989x1030 | 0.59 | 3.9e-12 | |
moon | 0.0735 | 0.384 from earth | 3.32e-3 | 8.5e-12 |
man | 100kg | 1( standing next to someone) | 6.67e-7 | 6.67e-7 |
Based on your results how signifcant, physically, is
the position of the planets on our 100kg man ?
As an example, the mass of a typical mosquito is 2.5e-6 kg. The weight of a mosquito on earth is 2.45e-5 N.