Whenever two Apollo astronauts were on the surface of the Moon, a third astronau

Question

Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 360 km above the surface of the Moon, where the acceleration due to gravity is 1.16 m/s2. The radius of the Moon is 1.70 Times 10 6 m. Determine the astronaut's orbital speed. Your response differs from the correct answer by more than 100%. m/s Determine the period of the orbit. Your response differs from the correct answer by more than 10%. Double check your calculations. s

Explanation / Answer

g = G Mm / r^2 = v^2/r Orbital Speed v^2 = g x r =1.16 x (1.7 + 0.36) x 10^6 v = 1545.83 m/s T = 2 x pi x r / v where r= (1.7 + 0.36) x 10^6 T = 2 x 3.14 x 2.06 x 10^6 / 1545.83 T =8369 secs = 139min 48 secs or 2 hours 19 mins and 48 secs

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.