Question

please answer these all of these. Answer all please

16. Dr. Evil has a 2400 kg satellite in a circular orbit 950 km above the surface of the Earth. re = 6.38 x 10m a) How much work must be done to move the satellite from Earth to that orbit? b) What is the binding energy of the satellite in that orbit? c) Calculate the escape velocity of the satellite from Earth's potential well while it is in its orbit.

Answer 1

B meshachindly CE 3 o 1 16) bet R and ly are TT Earth's radius and mats. A is Earth Sunface and A o is centre and Bis R position g satellite orbit. OA =R A B = PE OB = P oA + AB = Rtre We howe 6 R = 6.38 x 10 m p=Rtre Y = 5.98 x 1024 kg = 12.76x10m PE 6.38 x 100 m 9 6.67 3x10 satellite mass m = 2400 o kg At avy point Plopax) its project, the nowi itational due to Earth is Satellite Gm 6 -11 ambitnating growin force on

Satellite must overcome the Work done for de is = Fax small displacement dw GMm de the satellite is P SMm [ + ] W= R Х ay work done in shifting from A tx=R) to B (x=r) J S M m bx - S M m (+-) (6:673 x 10 ")x(5-98x1024) x 2400 [ 12.76X100 - 6'58 x 186] 3 7.5% 10 10 g (Ans) the work done computed in ay binding energy og - e be the orbital velocity the centripetal force Fc for de to be escape velocity, inwand gravitational pull G Mm b) will be stored as the orbit. the ►r Gm mg2 the Fiz

for a de (escape velocity) Fo = fg moz Gm r the ey for the escape rebuty uy Satellite from its orbit, we need Calculade the work done from x = r to to We = -5Mm (t +) - 5 mm then If We =KE 2- Ź im ve £m ve 2 Мm 35M P or 28 OT N P m/s 2x 6.67x10-11 x 5.98 X10 024 12.76X 106 a 7906.84 m/s (Ams)