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please, show all the work includin

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please, show all the work including the formulas. 

**Question 2:** A particle moves in one dimension and is subject to a conservative force, whose potential energy function is given by \( U(x) \), where \( A \) is a positive constant and \( x > 0 \). The total energy of the particle is given by \( E \). What is the maximum position the particle can have, \( x_m \)? Give your answer symbolically in terms of \( E \) and \( A \). \[ U(x) = A x \sqrt{x} \]
Transcribed Image Text:**Question 2:** A particle moves in one dimension and is subject to a conservative force, whose potential energy function is given by \( U(x) \), where \( A \) is a positive constant and \( x > 0 \). The total energy of the particle is given by \( E \). What is the maximum position the particle can have, \( x_m \)? Give your answer symbolically in terms of \( E \) and \( A \). \[ U(x) = A x \sqrt{x} \]
Expert Solution
Step 1

Given:

Ux=Axx

 

Step 2

Formula used:

Ux+Kx=E

Where,

K=kinetic energy of the system

U=potential energy

E=total energy

 

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