13.1b Ex1 ON16 P41 Q1 Geostationary Satellite | A2 G-Fields | Cambridge A Level 9702 Physics

Example 1 - 9702/41/O/N/16: A satellite is in a circular orbit of radius r about the Earth of mass M, as illustrated in Fig. 1.1. The mass of the Earth may be assumed to be concentrated at its centre. #9702w16p41 #A2gForceP4 #A2horizontalCircleP4 #Lv2 (a) Show that the period T of the orbit of the satellite is given by the expression where G is the gravitational constant. Explain your working. (b) (i) A satellite in geostationary orbit appears to remain above the same point on the Earth and has a period of 24 hours. State two other features of a geostationary orbit. (ii) The mass M of the Earth is 6.0 × 10^24 kg. Use the expression in (a) to determine the radius of a geostationary orbit (c) A global positioning system (GPS) satellite orbits the Earth at a height of 2.0 × 10^4 km above the Earth’s surface. The radius of the Earth is 6.4 × 10^3 km. Use your answer in (b)(ii) and the expression T^2 ∝ r^3 to calculate, in hours, the period of the orbit of this satellite. #A2CircularMotion Playlist:    • Ch12 Circular Motion | CAIE 9702 A2 P...   #A2GravitationalFields Playlist:    • Ch13 Gravitational Fields | CAIE 9702...   Instagram Pocket Guide (  / etphysics  ) More Resources (https://9702-physics.blogspot.com/) Support us! (  / etphysics  ) Tuition/Tutoring inquiries: Email: [email protected] Whatsapp: https://wa.me/60126679171 9702_w16_qp41 October/November 2016 #CambridgeALevelPhysics