line at Problem 10: A distant large asteroid is detected that might pose a threa

Question

line at Problem 10: A distant large asteroid is detected that might pose a threat to Earth. If it were to continue moving in a straight (10%) planet constant speed,it would pass km the center Eartth. it will be and might A What is the minimum s in meters per second, that the asteroid should have when it is detected for it to miss hitting Earth? In other words, what speed the asteroid have for to just graze surface Grade Summary Deductions 046 Potential 100% sino coso tano (D 7 8 9 Attempts remaining: cotano asino at ano acotano sinh0 cosho tanho cotanho 0 O Degrees Radians Hints MS deduction per hint. Hints remaining Feedback s deduction per feedback. Submission History Hints Feedback

Explanation / Answer

given

h = 18000 km

h = 18 X 106 m

Vmin = ( 2 g ( R + h ) )1/2

Vmin = ( 2 X 9.8 X ( 6.4 X 106 + 18 X 106 ) )1/2

Vmin = ( 4.7824 X 108 )1/2

Vmin = 21868.69 m/sec

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