A new type of force was discovered by physicists with the following expression: Fnew = a/x +Be^x+3x^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) to determine the work done we apply the following and make sure to follow the instructions.

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A new type of force was discovered by physicists with the following expression:
Fnew = a/x +Be^x+3x^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)

to determine the work done we apply the following and make sure to follow the instructions.

Write powers or subscript as is. Ex: Use b2 if you mean
b2
or b2
Write transcendental functions as is. Ex. Use costheta if you mean cose.
Spell out Greek letters. Ex: Use pi if you mean A
Write answers without spaces. Ex: Use 2epsilonOr3 if you mean 2ɛ r³.
Write fractions with a slash. Ex: Use 1/2 if you mean
Transcribed Image Text:Write powers or subscript as is. Ex: Use b2 if you mean b2 or b2 Write transcendental functions as is. Ex. Use costheta if you mean cose. Spell out Greek letters. Ex: Use pi if you mean A Write answers without spaces. Ex: Use 2epsilonOr3 if you mean 2ɛ r³. Write fractions with a slash. Ex: Use 1/2 if you mean
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
determine the
ork done we apply the following
S.
W =
dx
X;
Evaluating the above, we get
W =
e
for the limits from x¡ to xf
substituting x1 and x2 as the limits, the work done is expressed as
W =
| + B
X1
x15 - x25 )
+
Transcribed Image Text: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 determine the ork done we apply the following S. W = dx X; Evaluating the above, we get W = e for the limits from x¡ to xf substituting x1 and x2 as the limits, the work done is expressed as W = | + B X1 x15 - x25 ) +
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