Question

An asteroid with mass of 2.59 1020 kilograms (or 4.3410-5 MEarth) is kept in its orbit by 2.75 * 1017 Newton force exerted on it by the Sun. Msun = 1.99 % 1030 kg. 1 AU = 1.5 * 108 km. What is the radius of that asteroid's orbit? kilometers (use scientific notation and round the coefficient to two decimals). What is the radius of that asteroid's orbit in AU? AU (round your answer to two decimals). An astronaut goes out for a space-walk at a distance 5,920 kilometers (convert!) above the Earth's surface. What is her acceleration due to gravity? Earth's mean radius is RE = 6.37 100 m; Earth's mass is ME = 5.97 x 1024kg. Express your answer in m/s^2 and round it to two decimals. Earth's mean radius is RE = 6.37 *10m; Earth's mass is ME = 5.97x1024kg. At what distance above the Earth's surface will the acceleration due to Earth's gravity drop to 0.9g i.e. 9 m/s ? Express your answers in terms of Earth's radius. Round your answer to three decimals. How many kilometers above the Earth's surface is this? Round your answer to the nearest kilometer. km. At what distance above the Earth's surface will the acceleration due to Earth's gravity drop to g/2 i.e. 5 m/s? Express your answers in terms of Earth's radius. Round your answer to two decimals. How many kilometers above the Earth's surface is this? Use scientific notation and round the coefficient to two decimals. km. At what distance above the Earth's surface will the acceleration due to Earth's gravity drop to g4 i.e. 2.5 m/s272 Express your answers in terms of Earth's radius. Round your answer to two decimals. How many kilometers above the Earth's surface is this? Use scientific notation and round the coefficient to two decimals. km. At what distance above the Earth's surface will the acceleration due to Earth's gravity drop to g/10 i.e. 1 m/s<?? Express your answers as a fraction of Earth's radius. Round your answer to two decimals. How many kilometers above the Earth's surface is this? Use scientific notation and round the coefficient to two decimals. km. At what distance above the Earth's surface will the acceleration due to Earth's gravity drop to g/100 i.e. 0.1 m/s2?? Express your answers as a fraction of Earth's radius. Round your answer to two decimals How many kilometers above the Earth's surface is this? Use scientific notation and round the coefficient to two decimals.

Answer 1

According force = to Gravitational law, 6 Mast Mean (Rorbit) ² 6.67 Xid" x 2.59x1020 X 7-99 x1036 2.75x1017 = 1.25x10 23 orbit - 11.25*102 km ] Roobit Radius of » 7 Im All unit, AU Radius = 102.5410²0 1,5x108 = 18.333x10" AV) • The acceleration due to gravity on Earth surface g= GME - 667x10 x 5.97*1024 (6.378106) = 9.81 mis? the acceleration due to graving at a height in from Earth surface is g's go 6.37 X108 45-42% 10+ 6. 3740 = [2.63 ampe 2 gis g (ha) 0.9 = (hare) - 9.81 © IAR = 0.9486 & R = 0.9486h +0.9496R 3 h - 0.05418 ß = 1345. 16 x 103 m