%3Cp%3E%3Cspan%20style%3D%22font-family%3A%26nbsp%3B\'Droid%26nbsp%3BSans\'%2C%2
ID: 2280147 • Letter: #
Question
%3Cp%3E%3Cspan%20style%3D%22font-family%3A%26nbsp%3B'Droid%26nbsp%3BSans'%2C%26nbsp%3BGeorgia%2C%26nbsp%3B'Times%26nbsp%3BNew%26nbsp%3BRoman'%2C%26nbsp%3Bserif%3B%26nbsp%3Bfont-size%3A%26nbsp%3B16px%3B%26nbsp%3Btext-align%3A%26nbsp%3B-webkit-center%3B%22%3EIn%26nbsp%3Ba%26nbsp%3Bfuturistic%26nbsp%3Bscenario%2C%26nbsp%3Byou%26nbsp%3Bare%26nbsp%3Bassigned%26nbsp%3Bthe%26nbsp%3Bmission%26nbsp%3Bof%26nbsp%3Bmaking%26nbsp%3Binoperative%26nbsp%3Ban%26nbsp%3Benemy%26nbsp%3Bsatellite%26nbsp%3Bthat%26nbsp%3Bis%26nbsp%3Bin%26nbsp%3Ba%26nbsp%3Bcircular%26nbsp%3Borbit%26nbsp%3Baround%26nbsp%3BEarth.%26nbsp%3BYou%26nbsp%3Bknow%26nbsp%3Byou%26nbsp%3Bcannot%26nbsp%3Bdestroy%26nbsp%3Bthe%26nbsp%3Bsatellite%2C%26nbsp%3Bas%26nbsp%3Bit%26nbsp%3Bis%26nbsp%3Bwell%26nbsp%3Bprotected%26nbsp%3Bagainst%26nbsp%3Battack.%26nbsp%3BBut%26nbsp%3Byou%26nbsp%3Bcan%26nbsp%3Btry%26nbsp%3Bto%26nbsp%3Bknock%26nbsp%3Bit%26nbsp%3Bout%26nbsp%3Bof%26nbsp%3Bits%26nbsp%3Borbit%26nbsp%3Bso%26nbsp%3Bit%26nbsp%3Bwill%26nbsp%3Bfly%26nbsp%3Baway%26nbsp%3Band%26nbsp%3Bnever%26nbsp%3Breturn.%26nbsp%3BWhat%26nbsp%3Bis%26nbsp%3Bthe%26nbsp%3Bminimum%26nbsp%3Bamount%26nbsp%3Bof%26nbsp%3Bwork%26nbsp%3Bapplied%26nbsp%3Bto%26nbsp%3Bthe%26nbsp%3Bsatellite%26nbsp%3Bthat%26nbsp%3Bis%26nbsp%3Brequired%26nbsp%3Bto%26nbsp%3Baccomplish%26nbsp%3Bthat%3F%26nbsp%3BThe%26nbsp%3Bsatellite%5C's%26nbsp%3Bmass%26nbsp%3Band%26nbsp%3Baltitude%26nbsp%3Bare%26nbsp%3B9.81%26nbsp%3B%C3%97%26nbsp%3B102%26nbsp%3Bkg%26nbsp%3Band%26nbsp%3B2.61%26nbsp%3B%C3%97%26nbsp%3B102%26nbsp%3Bkm.%26nbsp%3BEarth%5C's%26nbsp%3Bmass%26nbsp%3Band%26nbsp%3Bradius%26nbsp%3Bare%26nbsp%3B5.98%26nbsp%3B%C3%97%26nbsp%3B1024%26nbsp%3Bkg%26nbsp%3Band%26nbsp%3B6.37%26nbsp%3B%C3%97%26nbsp%3B103%26nbsp%3Bkm.%3C%2Fspan%3E%3C%2Fp%3EExplanation / Answer
For satellite to be in orbit
m*v^2 / (r+h) = G m M /(r+h)^2
v^2 = G M / (r+h)
v=7.755 km/s
work required to knock out = total energy = m*v^2/2 + GmM/(r+h) = 5.9*10^10 J
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.