Potential Energy Curve-Classical Physics-Assignments, Exercises of Classical Physics

Download Potential Energy Curve-Classical Physics-Assignments and more Exercises Classical Physics in PDF only on Docsity! Due Friday, Oct 22, before 10 AM in 4-339B. Search PIVoT, and you will find solutions to several of the problems listed below. 5.1 Potential Energy Curve – page 205, problem 22 5.2 Gasoline Equivalent Energy – page 205, problem 25 5.3 Ancient Egyptian Slaves – page 207, problem 43 5.4 Bungee Jumping. A bungee jumper jumps from a tall bridge attached to a light elastic cord (bungee cord) of un- stretched length L. The cord first straightens and then extends as the jumper falls. This prevents her from hitting the water! Suppose that the bungee cord behaves like a spring with spring constant k = 100 N/m. The bridge is h = 100 m high and the jumper’s mass is m = 50 kg. a) What is the maximum allowed length L of the unstretched bungee cord to keep the jumper alive? (Assume that the spring constant doesn’t depend on L). b) Before jumping, our jumper verified the spring constant of the cord. She lowered herself very slowly from the bridge to the full extent of the cord and measured the distance to the water surface. What was the distance? 5.5 Maximum Rotation Rate of Planets. The fastest possible rate of rotation of a planet is that for which the gravitational force on material at the equator barely provides the centripetal force needed for rotation. (Why?) a) Show that the corresponding shortest period of rotation, T , is given by T = (3π/Gρ)1/2, where ρ is the density of the planet, assumed to be constant throughout the planet. b) Evaluate the rotation period assuming a density of 3.0 g/cm3, typical of many planets, satellites and asteroids. None of these objects is spinning faster than found by this analysis. 5.6 Binary Star System – page 239, problem 15 5.7 Cyg X-1 - a Black Hole – page 239, problem 16 5.8 With Jules Verne to the Moon – page 241, problem 28 5.9 Reentry of a Satellite – page 241, problem 30 5.10 Car Collision – page 267, problem 12 docsity.com