(17%) Problem 5: A 3500-kg spaceship is in a circular orbit 220 km above the surface of Earth. It needs to be moved into a higher circular orbit of 380 km to link up with the space station at that altitude. In this problem you can take the mass of the Earth to be 5.97 x 10** kg. & How much work, in joules, do the spaceship's engines have to perform to move to the higher orbit? Ignore any change of mass due to fuel consumption. Grade Summary W= Deductions Potential 100% sin() cos) | tanQ) | m|( 7]8]9 | Submissions cotan() asin() | acos() E | 4 | 5 | 6 | Attempts remaining: 30 S s O O 1 21 21 b cosh() tanh() | cotanh() [+]-] o |. | Degrees Radians _l 0 Submit | Hint | | I give up! | Hints: 1% deduction per hint. Hints remaining: 4 Feedback: deduction per feedback. Work done needed to increase the radius of orbit is. ( MeM's W = 2 RI RX where ( = 6- 67 X 10 Me = 5:97 X 10* kg MS = 3500 kg RI = Re+ 220 km RX = 6 ( 6371 + 220 ) km = 6591 KM = 6.591 X 10 m (: Radius of earth Re= 6371 KM) [In previous problem i forget to include radius of earth, Realy Sorry for doing bly mistake R2 = Re + 380 km = ( 637 1 + 380 ) km = 6751 km = 6 - 751 x 10 m 50 W= ( Me Ms 2 RX - RX / (6 -67 X 10 ") (5 . 97 X 10 ( ) ( 3500 ) / 2 6. 591 x 106 6. 751 x 10' 696- 85 X 10 - 11 + 24+ 2 6 .751 - 6 .591 105 6-751 X 6. 591 W = 2 .5 X 10 J