ProblemA new type of force was discovered by physicists with the following expression: 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)SolutionTo determine the work done we apply the followingW = dxEvaluating the above, we getW = | | + e + x for the limits from xi to xfsubstituting x1 and x2 as the limits, the work done is expressed asW = | / | + ( x1 - ) + ( x15 - x25 ) ProblemA new type of force was discovered by physicists with the following expression:aFnew+ Be* + 3x4where alpha & beta are constants, and x is the position. The expression above was obtained from theinteraction 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 x2to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy islost in the process)SolutionTo determine the work done we apply the followingW =dxXiEvaluating the above, we getW =| +e+for the limits fromXị to xfsubstituting x1andX2 as the limits, the work done is expressed asW =| + B(X1+x15 - x25 )

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University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

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Problem

A new type of force was discovered by physicists with the following expression:

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

W = dx

Evaluating the above, we get

W = | | + e+ x for the limits from x_i to x_f

substituting x₁ and x₂ as the limits, the work done is expressed as

W = | / | + ( ^x₁ - ) + ( x_1⁵ - x₂⁵ )

Problem
A new type of force was discovered by physicists with the following expression:
a
Fnew
+ Be* + 3x4
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
W =
dx
Xi
Evaluating the above, we get
W =
| +
e
+
for the limits from
Xị to xf
substituting x1
and
X2 as the limits, the work done is expressed as
W =
| + B(
X1
+
x15 - x25 )

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