In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spheric

Question

In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.30x1016 kg and a radius of 9.70 km . For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Phobos escape velocity. Part A What is the speed of a satellite orbiting 5.70 km above the surface? Express your answer with the appropriate units. Part B What is the escape speed from the asteroid? Express your answer with the appropriate units.

Explanation / Answer

Here ,

part A)

mass of asteroid , m = 1.3 *10^16 kg

radius of orbit of satellite , r = 5.7 *10^3 + 9.7 *10^3

r = 1.54 *10^4 m

v = sqrt(G *M/r)

v = sqrt(6.673 *10^-11 * 1.3 *10^16/(1.54 *10^4))

v = 7.51 m/s

the speed of satellite in orbit is 7.51 m/s

---------------------

part B)

the escape speed of asteroid is

v =sqrt(2 * GM/r)

v = sqrt(2 * 6.673 *10^-11 * 1.3 *10^16/(9700))

v = 13.4 m/s

the escape speed from the asteroid is 13.4 m/s

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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