Question

A satellite with mass 898 kg is in a circular orbit with an orbital speed of 5840 m/s around the earth.

a) What is the new orbital speed after friction from the earth's upper atmosphere has done −7.5×10^9 J of work on the satellite? Express your answer with the appropriate units.

b)  Does the speed increase or decrease?

Answer 1

Ans- Given data: 59% +3 mass ma orbital speed V, - 58 40 mbs work friction wfriction - 7.5 x109 I - 5840 m/s Satellite m = 898 kg By Energy conservation ME k, +Vitu Priction = K + Uz +mu?(-Como T +Wfriction + Cam Gimem (som V The orbitial speed is given by v² = Aug Y r= GmE tinen -Gmem GmE tw friction = h 2 mv 2 ² + ( - GmEm (GME - Žmu,? - mut+wfriction -I mv² + Wfriction 1 mv2² - my 2 - 2m -my

V₂ 2 Wfriction V, 2 m 2 (7.5x109) 5840 898 5840+ 16 703786.19) - 16709626.191 V₂ = 4087.74 m/s b) new orbital speed is 4087.74 m)s. The speed is decreases