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-r, where: r: Distance from the comet's surface to the metallic ball, in meters. k =8.00 N m2 a = 2.00 m 1 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, 00 U (r) = 0. 2. What is the metallic ball's speed (in m/s) once the steel ball is one meter above the comet? Justify your answer using your rationale and equations used.
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-r, where: r: Distance from the comet's surface to the metallic ball, in meters. k =8.00 N m2 a = 2.00 m 1 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, 00 U (r) = 0. 2. What is the metallic ball's speed (in m/s) once the steel ball is one meter above the comet? Justify your answer using your rationale and equations used.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 63P
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