Tricky Question --> gravitational pull problem 1. The problem statement, all variables and given/known data NASA sends up a satellite that just escapes Earth's gravitational pull. If the satellite is sent to Jupiter (Mass = 2*10^7kg Radius = 70,000km) how much energy must be released by the satellite such that it will successfully enter a stable circular orbit at an altitude of 10,000km from Jupiter's surface? Keep in terms of satellite's mass 2. Relevant equations G=6.67*10^-11 (KEf-KEi)+(PEf-PEi)=0 PE= -(GMm)/r 3. The attempt at a solution PEi= -(GMm)/r1 = -(6.67E-11*2E27)/70000 = -1.906E9*m PEf= -(GMm)/r2 = -(6.67E-11*2E27)/80000 = -1.334E10*m KEi=0 --> reference point KEf=(1/2)*m([tex]\Delta[/tex]v)^2 (-1.334E10*m)-(-1.906E9*m) = [tex]\Delta[/tex]PE = -1.143E10*m = [tex]\Delta[/tex]KE [tex]\Delta[/tex]PE=[tex]\Delta[/tex]KE 1.143E10*m=(1/2)m([tex]\Delta[/tex]v)^2 [tex]\Delta[/tex]v^2=2*(1.14E10) [tex]\Delta[/tex]v^2=2.287E10 m/s [tex]\Delta[/tex]v=1.51E5 m/s I believe that the satellite must release 1.143E10*m J in the form of increased velocity (KE, 1.51E5 m/s), to maintain that orbit. So it must release energy to increase thrust (velocity) ... Not sure what made the professor take off points. His Comment was "what about V" does anyone know how I could solve for V?