An astronaut is standing on a small planet. She is conducting physics experiments with a metal sphere of mass 1.5 kg. Th

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An Astronaut Is Standing On A Small Planet She Is Conducting Physics Experiments With A Metal Sphere Of Mass 1 5 Kg Th 1 (64.68 KiB) Viewed 60 times

An astronaut is standing on a small planet. She is conducting physics experiments with a metal sphere of mass 1.5 kg. The mass of the planet is 5.2 x 1020 kg, its radius is 3.2 x 105 m, and it has no appreciable atmosphere. (a) (2 marks) What is the force exerted by the planet on the ball? (b) (2 marks) What is the gravitational acceleration at the surface of the planet, gplanet? (c) (4 marks) The astronaut throws the sphere horizontally with an initial speed of 14 m/s. Will it go into a circular orbit around the planet? Explain your answer. (d) (4 marks) The astronaut takes an identical 1.5 kg sphere and throws it straight up with a higher initial speed, 30 m/s. How far up will it go? (e) (4 marks) The astronaut's main spaceship has a mass of 12000 kg, and is in a circular orbit around the planet at an altitude of 4 x 105 m above the moon's surface. What are the magnitudes and directions of the parallel and perpendicular components of the net force (F and F₁) exerted on the spaceship by the planet? Draw a diagram to illustrate your answer. (f) (4 marks) How long does it take the spaceship to orbit the planet?