A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the function F (r) = km Where: r = distance from the planet's surface in km m = object's mass in kg k = 5.00 km5/kg The metallic ball starts at a very distant position from the planet (r o) and falls towards the planet. What is the potential function U (r) of the planet? Use the condition lim,, U(r) = 0. What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface? Justify your answer using your rationale and equations used.
A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the function F (r) = km Where: r = distance from the planet's surface in km m = object's mass in kg k = 5.00 km5/kg The metallic ball starts at a very distant position from the planet (r o) and falls towards the planet. What is the potential function U (r) of the planet? Use the condition lim,, U(r) = 0. What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface? Justify your answer using your rationale and equations used.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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