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Assignment: Gravitational Fields Instructions Your task is to complete the questions in the problem set. Read each question carefully, identifying your given values. Show all formulas and calculations used to solve the problems. Report your answers to the correct number of significant digits and with the correct units Questions 1. The gravitational field strength of an unknown planet is 22 N/kg on its surface. Calculate the value of g if the planet's mass and radius were both doubled. (5 marks) 2. Calculate the period of a planet in the sun system if its radius of orbit around the sun is 7. 87 x 10 m. Use k - 3. 355 x 1018 m /s. (5 marks) 3. How much additional energy is needed to fire a 7. 8 x 10- kg weather monitor on the Earth's surface to a height of 190 km above the Earth (R. - 6. 38 x 10 m, M. - 5. 98 x 10 kg)? Assume that the weather monitor rises to that height, stops, and falls back to Earth. (5 marks) 4. A 1400 kg satellite is in orbit around the earth at an altitude of 3900 km. Calculate its total energy