At Sirius A's surface, the gravitational force between Sirius A and a 5 kg mass of hot gas has a magnitude of 925.1 N. Assuming that Sirius A is spherical, with a uniform mass of 4.851e+30 kg, what is Sirius A's mean radius?
2007-11-02 16:00:19 · 2 answers · asked by JJ 1 in Science & Mathematics ➔ Physics
From Newton's law of gravitation:
W=G(Mm)/R^2
R=sqrt(GMm/W)=1,323,000 km
G- universal gravitational constant (6.672 E -11 N m^2/kg^2 )
M- mass of Sirius A (M=4.851 E+30 kg)
m - mass of gas (m=5kg)
W -weight of gas at the surface of Sirius A (W=925.1 N)
2007-11-02 16:05:23 · answer #1 · answered by Edward 7 · 1⤊ 0⤋
g=mass of sirusXmass of gas*k/r^2
mass sirius=4.851e30
mgas=5kg
gravitational constant = 6.67300 × 10-11 m3 kg-1 s-2
r^2=msXmg*k/g
r=1322716.775 km
2007-11-02 16:15:59 · answer #2 · answered by eric l 6 · 0⤊ 0⤋