Many people assume air resistance acting on a moving object willalways make the object slow down. It can, however, actually beresponsible for making the object speed up. Consider a 310-kg Earthsatellite in a circular orbit at an altitude of 335 km. A smallforce of air resistance makes the satellite drop into a circularorbit with an altitude of 200 km. (Use the following values: G =6.67 10-11 m3 kg−1 s−2, mass of the Earth 5.98 1024 kg, radius ofthe Earth 6.37 106 m.)
(a) Calculate the satellite's initial speed.
_________ m/s
(b) Calculate its final speed in this process.
_________ m/s
(c) Calculate the initial energy of the satellite-Earth system.(Use the exact values you enter in previous answer(s) to make latercalculation(s). Round your answer to two decimal places.)
_________×109 J
(d) Calculate the final energy of the system. (Use the exact valuesyou enter in previous answer(s) to make later calculation(s). Roundyour answer to two decimal places.)
_________ ×109 J
(e) Show that the system has lost mechanical energy.
Find the amount of the loss due to friction. (Round your answer toone decimal place.)
___________ ×108 J
(f) What force makes the satellite's speed increase? Hint:You will find a free-body diagram useful in explaining youranswer.
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