Assume the orbital of a lunched satellite around the earthis circular. (a) Show

Question

Assume the orbital of a lunched satellite around the earthis circular.

(a) Show that there is only one speed that a satellite canhave if the satellite is to remain in an orbit with

a fixed radius and it does not depend on the mass of thesatellite.

(b) What is the speed and heightH above the earth’s surfaceat which all synchronous satellite

(regardless of mass) must be placed in orbit, assuming theearth is spherical?

(c) If a synchronous satellite has a massm. How much additional kineticenergy is needed for it to escape

from the earth?

Explanation / Answer

A: Fnet= (mv2)/R Fnet = Fgrav (mv2)/R = (GMm)/(R2) Simplify: v2 =GM/R v=(GM/R)^(1/2)

B:??

C: KEsyn= 1/2m(Vsync)2= GMm/2r Vsyn= sqrt(GM/R) Vesc= sqrt(2GM/R) KEesc=1/2m(Vesc)2= GMm/r = 2(KEsync)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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