You are an astronaut on a rotating space station. Your station has an inside diameter of 3.00 km a) Draw a system diagram and FBD of your body as you stand on the interior surface of the station b) Determine the speed you need to have if your apparent weight is to be equal in magnitude to your Earth -bound weight. c) Determine your frequency of rotation, both in hertz and in revolutions per minute.

a and b

C) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by measuring the atmospheric composition and temperature. The spacecraft will leave Earth from a parking orbit of radius 6578 km and arrive at Jupiter in a parking orbit of radius 75782 km. What is the total velocity change required to do this mission? How long would it take for the satellite to arrive at Jupiter?

19. Which of the following is not one of, nor a direct consequence of, Kepler's Laws?

1. Every particle in the universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. This force acts along the line joining the two particles. The magnitude of the gravitational force can be written as 2. A 87-kg person and a 78-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 41.0 m. FG = _____ (Units) 3. A 83-kg person and a 61-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 39 m. FG = _____ (Units 4. A 65-kg person and a 75-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the…

Geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time T during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass M and radius R. In order to be geosynchronous, the satellite must be at a certain height h above the Earth’s surface.  a) Derive an expression for h in terms of m, M, R, T and constants.    b) Calculate the numerical value for h in meters.

Physics An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 43 hours. The mass of the planet is M = 2.7 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T. Part a) Write an expression for the radius of the spaceship’s orbit R=? Part b) Calculate the orbital radius in meters

I Review i Two satellites are in circular orbits around a planet that has radius 9.00 × 10° m. One satellite has mass 68.0 kg, orbital radius 6.00x107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 5.00x107 m. Part A What is the orbital speed of this second satellite? Express your answer to three significant figures and include the appropriate units. HẢ ? V = Value Units Submit Request Answer

Q17 What is the magnitude of the gravitational force acting on a 3.50 x 10³ kg satellite orbiting a planet when the satellite's orbital radius is 9.17 x 106 m and the satellite's orbital period is 1.5 hours? (A) 4.34 x 104 N (B) 5.63 x 10"N (C) 4.07 N (D) 1.24 x 104 N

An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 31 hours. The mass of the planet is M = 2.1 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T.   a.  Enter an expression for the radius of the spaceship’s orbit.  b.  Calculate the orbital radius in meters.