Using Elementary Mechanics to Estimate the Maximum Range of ICBMs

North Korea's development of nuclear weapons and, more recently, intercontinental ballistic missiles (ICBMs) has added a grave threat to world order. The threat presented by these weapons depends critically on missile range, i.e., the ability to reach North America or Europe while carrying a nu...

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Bibliographic Details
Published inThe Physics teacher Vol. 56; no. 4; pp. 210 - 213
Main Author Amato, Joseph
Format Journal Article
LanguageEnglish
Published American Association of Physics Teachers 01.04.2018
Subjects
Calculus
Computation
Mathematical Concepts
Mechanics (Physics)
Science Instruction
Scientific Concepts
Scientific Principles
Teaching Methods
Weapons
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Summary:North Korea's development of nuclear weapons and, more recently, intercontinental ballistic missiles (ICBMs) has added a grave threat to world order. The threat presented by these weapons depends critically on missile range, i.e., the ability to reach North America or Europe while carrying a nuclear warhead. Using the limited information available from near-vertical test flights, how do arms control experts estimate the maximum range of an ICBM? The purpose of this paper is to show, using mathematics and concepts appropriate to a first-year calculus-based mechanics class, how a missile's range can be estimated from the (observable) altitude attained during its test flights. This topic--while grim--affords an ideal opportunity to show students how the application of basic physical principles can inform and influence public policy. For students who are already familiar with Kepler's laws, it should be possible to present in a single class period.
ISSN:0031-921X
DOI:10.1119/1.5028232