A 2.50-kg metallic ball at rest is being pulled by a strange magnetic field of a comet. The force exerted by the comet (in newtons) is given by the function F (r) = -kre¯ar, where: r: Distance from the comet's surface to the metallic ball, in meters. k =8.00 N m-2 -1 a = 2.00 m The metallic ball starts at a distant enough position from the comet such that the force is zero, then starts moving towards the comet. 1. What is the potential function U (r) of the comet? Use the condition U (ro). = lim, 0 U (r) = 0. r→∞ 2. What is the metallic ball's speed (in m/s) once the steel ball is one meter above the comet?

A 2.50-kg metallic ball at rest is being pulled by a strange magnetic field of a comet. The force exerted by the comet (in newtons) is given by the function F (r) = -kre¯ar, where: r: Distance from the comet's surface to the metallic ball, in meters. k =8.00 N m-2 -1 a = 2.00 m The metallic ball starts at a distant enough position from the comet such that the force is zero, then starts moving towards the comet. 1. What is the potential function U (r) of the comet? Use the condition U (ro). = lim, 0 U (r) = 0. r→∞ 2. What is the metallic ball's speed (in m/s) once the steel ball is one meter above the comet?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 54PQ

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