Let\'s consider imaginary planet of mass M= 3.00 *10 24 kg with radius R= 4.00*1
ID: 1419511 • Letter: L
Question
Let's consider imaginary planet of mass M= 3.00 *1024kg with radius R= 4.00*106m.
a) find gravity force acting between this planet and its star if mass of the star Ms= 1.00*1032kg and distance between the planet and the star is 2.00 *1011m.
b) find free fall acceleration on the surface of this planet.
c) find escape speed from the surface of the planet.
d) find average distance between Saturn and the Sun if period of the Saturn's orbit is 29 years ( compare with Earth orbit that has a period of 1.0 year and average distance from the Sun 1.5*1011m).
Explanation / Answer
a)
F = GM1M2/R^2
F = 5.0025 x 10^23 N
b)
free fall acceleration
a = GM/R^2
a = 12.506 m/s^2
c)
Vescape = sqrt (2x a xR)
Vescape = 10002.499 m/sec
d)
T is directly proportional to r^3/2
29/1 = (r/1.5x10^11) ^1.5
r = 14.158 x 10^11 m
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