The mass of a certain neutron star is 9 × 1030 kg (4.5 solar masses) and its radius is 5500 m. What is the acceleration of gravity at the surface of this condensed, burned-out star? The value of the universal gravitational constant is 6.67 × 10−11 N · m2 /kg2 . Answer in units of m/s 2 .
Acceleration due to gravity, g = GM/R2
G - Universal gravitational constant, G = 6.67 x 10-11
Nm2kg-2
M - Mass of the star, M = 9 x 1030 kg
R - Radius of the star, R = 5.5 x 103 m
Substituting,
g = [(6.67 x 10-11) x (9 x 1030)] / (5.5 x
103)2
= 1.98 x 1013 m/s2
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