The strength of magnetic force varies inversely with the square of the distance between th magnets. In other words, k Force distance? Suppose that when two magnets are 5 cm apart, there is a force of 2 newtons. Find the we required to move the magnets from a distance of 2 cm apart to a distance of 11 cm apart.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Calculus II

The strength of magnetic force varies inversely with the square of the distance between the
magnets. In other words,
k
Force
2
distance?
Suppose that when two magnets are 5 cm apart, there is a force of 2 newtons. Find the work
required to move the magnets from a distance of 2 cm apart to a distance of 11 cm apart.
Work =
Joules
Hints: 1. Use the information about the two magnets to find the constant k.
2. Be careful about the units of force and distance needed for Joules.
Transcribed Image Text:The strength of magnetic force varies inversely with the square of the distance between the magnets. In other words, k Force 2 distance? Suppose that when two magnets are 5 cm apart, there is a force of 2 newtons. Find the work required to move the magnets from a distance of 2 cm apart to a distance of 11 cm apart. Work = Joules Hints: 1. Use the information about the two magnets to find the constant k. 2. Be careful about the units of force and distance needed for Joules.
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