Answered: A new type of force was discovered by…

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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Problem A new type of force was discovered by physicists with the following expression: F subscript n e w end subscript equals alpha over x plus beta e to the power of x plus 3 x to the power of 4 where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higgs Boson (a type of particle) and a black hole. Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x2 to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy is lost in the process)

Problem
A new type of force was discovered by physicists with the following expression:
Fnew
+ Be*+3x
where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higgs Boson (a type of particle) and a
black hole.
Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x2 to x1. How much work should the machine do to achieve
this feat? (For simplicity, consider that no energy is lost in the process)
Solution
To determine the work done we apply the following
xp
Evaluating the above, we get
W =
for the limits from x¡ to x4
substituting x1 and x2 as the limits, the work done is expressed as

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