Question

The International Space Station whose mass is 420 tons is orbiting at an altitude of about 400 km above the earth's surface. The mass of the earth is 5.976 × 102 4 kg and the radius of the earth is 6.378 × 106 m.

(a)

What is the gravitational force exerted on the Space Station by the earth?

(b) Assuming a circular orbit, what is the period of the International Space Station's orbit?

(c) Assuming a circular orbit, what is the speed of the International Space Station in its orbit?

(d) Assuming a circular orbit, does the gravitational force do work on the Space Station

Answer 1

DATE Son @ from the universal law of gravitation Gming mio mg are is the ng ahere masses of i planets distance between the cendres of the planete. 5.976 41 24 leg mq 480 tons = 420 Xl ky ( 7 ton 1000 te of radioust height of station from the surface 6.378x106m + 40x1000 m 6:378 x103 + 400 J x 10m 16378+40) x103 6778x103 to3 m 7 earth Gravitational tonstant a=667x15 NTM²To I g then = 6.6780" x 5.978X10 X 42008 (677881n3q = 0.0003644 X10297844 24 106

for cirular motion mv2 required forcent produrred ४ centrepetal by granity eo sok oue toue o že amg 12 OY w r and tu=w G# CUE 커 - & IT r = /Gma T r Tues Arena A om e € TE & T o Gang 2312 = 21 jamo 6378 x 10 lee ļ. mo Tha 5. 1768 1024 kg TE 2X3.11 x 6778813372 F667x10thy 5.976X102# 555064.92 хtola 1312 lo (g-13/2 =555064. Lala so68.9) X 3 = 60 619

DATE vo tamo (deduced = 6.62x15" x 5.976x1024 6778 Xtos 0:076686 Xios ms 7.6686 X103 ms? g since we know work done w od cosce displacement a is angle between force and displacement In circular motion is tangentially for citramferente is radially toward contrei Hence are perpendicular ri displacement and for ce the bo the فهو أو ee 90 to