Answer:
8.58 m/s.
Explanation:
Given,
Mass of the asteroid,M = 1.50 x 10¹⁶ Kg
radius = 9 Km
distance of the satellite, r = 4.60 Km
Speed of the satellite = ?
R = 9 + 4.60 = 13.60 Km
Speed of the satellite rotating in orbit
[tex]v = \sqrt{\dfrac{GM}{R}}[/tex]
G is gravitational constant
[tex]v = \sqrt{\dfrac{6.67\times 10^{-11}\times 1.50\times 10^{16}}{13.60\times 10^3}}[/tex]
v = 8.58 m/s
Speed of the satellite is equal to 8.58 m/s.
