The acceleration caused by gravity is 1.2 x 1012 m/s2, while the speed of the star is 6.3 x 104 m/s.
(a) Assuming the star's radius (R) is 19 km, = 19 x 10^3 meters
Rotation Duration (T) = 1 s
The star's mass (m) is 1.98 x 10^30 kg.
The star's velocity is determined by (v) = 2πr/T, where
v = 2x3.14x19x 10^3/1 = 11.93 x10^4 m/s.
Consequently, the star's speed is 11.93 x 10^4 m/s
(b) We are aware that the gravitational acceleration can be calculated as follows:
g = Gm/r^2, where G is the gravitational constant and equals
6.67 * 10^11 x1.98 x 10^30/ (19 x 10^3)^2
g = 3.65x10^33 m/s2.
Gravitational acceleration is therefore equal to 3.65x10^33 m/s2.
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