Homework Assignment # 3 Assignment Completeness Accuracy Demonstrated Knowledge Deadline Quality Grade/Cluster 11 ES Subject Section Due Date Monday 4 / 3 / 2013 7&8 Name ID Physics Score/20 Given the following: Me = Mass of the earth= 5.98x1024 kg, Re = radius of the Earth= 6.37x106 m, G = Universal Gravitational constant= 6.67x10-11 Nm2/kg2. Answer the following questions: Question 1: A satellite has a mass of 80 kg and is located at 2.50X106 m above the surface of Earth. a. What is the magnitude of the gravitational force on the satellite? b. Find the period of the satellites orbit. 1 Question 2: Two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the Earth’s radius, while satellite B is at an altitude equal to twice the Earth’s radius. What is the ratio of their periods, T B/TA? Question 3: An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius of the planet is 4.0 106 m. a. What is the mass of planet X? Fg = b. Fgr 2 20 ´ (4.0 ´10 6 )2 GmM Þ M = = = 9.6 ´10 24 kg 2 -11 r GM 6.67´10 ´ 0.5 What free fall acceleration will the 0.50-kg object experience when transported to a distance of 2.0 106 m from the surface of this planet? g= GM 6.67 ´10-11 ´ 9.6 ´10 24 = =17.8m / s 2 2 6 6 2 r (4.0 ´10 + 2.0 ´10 ) Question 4: Increasing the distance of two masses to its double value. What is the change of the gravitational force between them. Explain your answer. Fg will be quarter As Fg proportional to square distance. 2