QUESTION 16 2 pointsSave The Moon which has mass of about 7.35 x1022 kilograms,

Question

QUESTION 16 2 pointsSave The Moon which has mass of about 7.35 x1022 kilograms, and it orbits the Earth with an average orbital distance of 384,400 kilometers. Calculate the following for the Moon the magnitude of the average gravitational force exerted by the Earth on Newtons (use scientific notation the Moon: and round the coefficient to two decimals) the magnitude of the acceleration due to Earth's gravity at Moon's orbit m/s2 (use scientific notation and round the coefficient to two decimals) the orbital velocity of the Moon (round your answer to two decimals) km/s days (round the orbital period of the Moon your answer to the nearest integer) the escape velocity from Earth's gravity for a spacecraft launched from the Moon's orbit two decimals) km/s (round your answer to Earth's mean radius is RE -6.37 x106 m, Earth's mass is ME 5.97x1024kg QUESTION 17 2 points Save An The International Space Station which presently has mass of about 420,000 kilograms, maintains an orbit with an altitude of between 330 and 435 kilometers (205 and 270 miles respectively) above the Earth surface by means of re-boost maneuvers using the engines of the Zvezda module or visiting spacecraft to compensate for 2 km/month orbital decay due to the atmospheric drag. Calculate the following for the low orbit of the ISS (330 kilometers above the Earth surface), assuming that it is in a circular orbit the magnitude of the gravitational force exerted by the Earth on the International Space Station: scientific notation and round the coefficient to two decimals) the magnitude of the acceleration due to Earth's gravity at the Newtons (use m/s2 (round International Space Station your answer to two decimals) orbital velocity of the International Space Station km/s (round your answer to two decimals) the orbital period of the International Space Station minutes (round your answer to the nearest integer the escape velocity from Earth's gravity for a spacecraft launched from the orbit of the International Space Station km/s (round your answer to two decimals) Earths meen radius Is RE - 6.37 x10 m, Earth's massis ME 5.97x1024kg

Explanation / Answer

16.

F = G M m / r^2

F = (6.67 x 10^-11) (5.97 x 10^24) (7.35 x 10^22) / (384400 x 10^3)^2

F = 1.98 x 10^20 Newtons ....Ans

a = F / m_moon = 2.70 x 10^-3 m/s^2 .....Ans

a = v^2 / r

v = sart(2.70 x 10^-3 x 384400 x 10^3) = 1018 m/s

Or 1.02 km/s ............Ans

T = 2 pi r / v = 2372641.5 sec

T (days ) = 27.5 days ......Ans

TE = - G M m / 2 r  

m v^2 /2 = G M m / 2 r

v = sqrt( G M_earth / r )

v =1.02 km/s ...Ans

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