Answer:
altitude of satellite from earth surface is 7140 km
Explanation:
given data:
mass of satellite = 5000kg
altitude of satellite from earth surface can be calculated by using given relation
[tex]p^2 = \frac{(4* \pi^2)(a^3)}{(G*M)}[/tex]
where,
p - satellite's period in seconds,
a - satellite's altitude in meters,
G - gravitational constant (6.67 x 10^-11 m³/kgs²) and
M - mass of Earth 5.98 x 10^24 kg
solving for altitude we have
[tex]a^3 =\fracp{(G*M*p^2)}{(4*\pi^2)}[/tex]
[tex]a^3 = 3.637 * 10^{20}[/tex]
a = 7,138,000 meters = 7,140 km
altitude of satellite from earth surface is 7140 km
