A treetop satellite moves in a circular orbit just above the surface of a planet, assumed to offer no air resistance. Show that its orbital speed v and the escape speed from the planet are related by the expression vesc 5 !2v.

tran (mmt2449) – Homework 07 – yao – (56695) 1 This print-out should have 29 questions. Solution: The total mass of the system is Multiple-choice questions may continue on the sum of all point masses the next column or page – ﬁnd all choices M = 9m before answering. = 9(9 kg) 001 10.0 points = 81 kg. Assume: The small objects are point parti- Angular momentum of the system is con- cles. served, so The system of nine small 9 kg objects is rotating at an angular speed