please show working out. I need help with these questions. Thanks

Gravitational force and field Show work or explain answer for each question. 1. Two objects attract each other gravitationally. If the distance between their centers is cut in half, the gravitational force A) is cut to one fourth. B) is cut in half. doubles. D) quadruples 2. Two objects, with masses m1 and m2, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2m1 and 2m2, and the distance is changed to 4r. What is the magnitude of the new gravitational force? A) F/16 B) F/4 16F D) 4 3. As a rocket moves away from the Earth's surface, the rocket's weight A) Increases. B) decreases. C) remains the same. depends on how fast it is moving. 4. A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth? A B B) 3/2 g/4 D) g/8 5. Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B? A) 0.707r B) 1.41r D) 4r 6. The radius of Earth is R. At what distance above Earth's surface will the acceleration of gravity be 4.9 m/s?? A) 0.41 R B) 0.50 R C) 1.0 R D) 1.41 R 7. An object weighs 432 N on the surface of Earth. At a height of 3REarth above Earth's surface, what is its weight? A) 432 N B) 48 N C) 27 N DJON