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The only force acting on a particle is conservative force . If the particle is at point A, the potential energy of the system associated with and the particle is 41 J. If the particle moves from point A to point B, the work done on the particle by is 20 J. What is the potential energy of the system with the particle at B

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xero099

Answer:

[tex]U_{B} = 61\,J[/tex]

Explanation:

The final potential energy is modelled according to the Principle of Energy Conservation and the Work-Energy Theorem:

[tex]U_{A}+ W_{A\rightarrow B} = U_{B}[/tex]

The conservative nature of the work done on the particle means that additional work is gained by the system, meaning a positive change in potential energy. Then:

[tex]U_{B}=41\,J+20\,J[/tex]

[tex]U_{B} = 61\,J[/tex]

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