Question

1) At what point between the Earth and Moon do the gravitational forces from each balance? Give your answer as the distance from the center of Earth.

2) At what height above the Earth is the freefall acceleration half of the value 9.8 m / s²?

3) The Earth, Moon and your 5000 kg spaceship form an equilateral triangle and some instant in time.

Define an xy-plane containing all three objects. Define the origin at the location of your space ship, and,

the y-axis as the line through your spaceship and the Earth. The gravitational force

vector, acting upon your spaceship, equals (____, ____) N.

(Assume the Moon is in the first quadrant and give your answers to two decimal places.

Answer 1

1 Omarn Cath b X' Meartth L-a2 Menrth -5.932 メ 10 2 4 Man 22 34 X 10 L- 384 4 00 Km 8 844 00000 m 12 7.54X10 24 S.932 XIo 3844006o0-) 2- batu srde i1nr vnt 384400000- Q13622 X = 4669 18 Km &Meat GM (E1)2 2 Reh)2 Xto) (ocoNONS g.8 XiD S. 92 (6378.1 th) 0016.22 638.12 km