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Math problems answers
Problem 1
V Earth= 4/3x 3.14x (64x 10^2)^2 = 17.149 x 10^4 L
V Sauterne= 4/3x 3.14x (60x 10^3)^2= 15.072x 10^6
VEarth/ VSauterne= 114
Problem 2
A. u=x/t
t=x/u
t=77400000/200000=387h
B. t1=x1/u1
t1=38700000/200000=193,5h
t2=x2/u2
t2=38700000/400000=96,75h
t1+t2= 290,25h
C. t1=193,5h
t2=x2/u2
t2=38700000/100000=387h
t1+t2=580,5h
Problem 3
A. Planet A: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32…
Planet B: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33….
Planet C: 5, 10, 15, 20, 25, 30, 35,…
They will meet in 30 years.
B. Planet A: 15x 10x10^6= 150x 10^6 km
Planet B: 10x 150x10^6= 1500x10^6 km
Planet C: 6x 10^7 = 60x 10^6 km
Problem 4
Distance of the Earth from the Sun:
u=300.000 km/h
t=60x8= 480s
x= ut =300.000x 480 = 144.000.000 km
Distance of Mercury from the Sun:
x2: 57.800.000 km
Distance of Mercury from the Earth:
x1-x2=144.000.000- 57.800.000= 86.200.000 km
Problem 5:
A. s=1/2x g x t^2
200.000= 1/2x 10 x t^2
t^2= 40.000
t=200s
B. s=1/2 x g x t^2
s=1/2 x 10 x 60 ^2
s=18.000 m

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Math problems concerning astronomy_answers

  • 1. Math problems answers Problem 1 V Earth= 4/3x 3.14x (64x 10^2)^2 = 17.149 x 10^4 L V Sauterne= 4/3x 3.14x (60x 10^3)^2= 15.072x 10^6 VEarth/ VSauterne= 114 Problem 2 A. u=x/t t=x/u t=77400000/200000=387h B. t1=x1/u1 t1=38700000/200000=193,5h t2=x2/u2 t2=38700000/400000=96,75h t1+t2= 290,25h C. t1=193,5h t2=x2/u2 t2=38700000/100000=387h t1+t2=580,5h Problem 3 A. Planet A: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32… Planet B: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33…. Planet C: 5, 10, 15, 20, 25, 30, 35,… They will meet in 30 years. B. Planet A: 15x 10x10^6= 150x 10^6 km Planet B: 10x 150x10^6= 1500x10^6 km Planet C: 6x 10^7 = 60x 10^6 km Problem 4 Distance of the Earth from the Sun: u=300.000 km/h t=60x8= 480s x= ut =300.000x 480 = 144.000.000 km Distance of Mercury from the Sun: x2: 57.800.000 km Distance of Mercury from the Earth: x1-x2=144.000.000- 57.800.000= 86.200.000 km
  • 2. Problem 5: A. s=1/2x g x t^2 200.000= 1/2x 10 x t^2 t^2= 40.000 t=200s B. s=1/2 x g x t^2 s=1/2 x 10 x 60 ^2 s=18.000 m