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.

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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

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.

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