5. (a). Prove that if an object is dropped to the earth's surface from a height H, then if air resistance is negligible it will hit the earth with the earth with speed V29RH/(R + H) (b). Calculate the speed in part (a) for the cases where H = 1000 miles and H = 10,000 miles respectively. Take the radius of the earth as 4000 miles.
5. (a). Prove that if an object is dropped to the earth's surface from a height H, then if air resistance is negligible it will hit the earth with the earth with speed V29RH/(R + H) (b). Calculate the speed in part (a) for the cases where H = 1000 miles and H = 10,000 miles respectively. Take the radius of the earth as 4000 miles.
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