In: Physics
3. A scientific probe of mass 450 kg orbits a planet
every 1.49 hr at an altitude of 251 km. The radius of
the planet is 3.40 × 105 m. (G = 6.67 × 10−11 Nm2/kg2)
(a) What is the magnitude of the gravitational acceleration on the
surface of the planet? Express your
answer as a multiple of g, where g = 9.8 m/s2
.
(b) The planet has a moon with an orbital period of 6.45 hr. What
is the moon’s orbital radius in km?
(c) The probe executes a burn to bring it to a different orbital
altitude of 350 km. What was the change
in energy, ∆E, required for this maneuver?
(d) What is the escape speed for an object launched from the
surface of this planet in km/s?