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Hunus Group Title

Elastic potential energy

  • 2 years ago
  • 2 years ago

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  1. Hunus Group Title
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    |dw:1335300188613:dw| When does the spring have negative potential energy?

    • 2 years ago
  2. Hunus Group Title
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    Does it?

    • 2 years ago
  3. Vincent-Lyon.Fr Group Title
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    Good question! Do you know the expression of this type of potential energy?

    • 2 years ago
  4. Hunus Group Title
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    \[\frac{kx^{2}}{2}\]

    • 2 years ago
  5. Vincent-Lyon.Fr Group Title
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    So...

    • 2 years ago
  6. Hunus Group Title
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    Well, when you have the equation \[F_x=-\frac{\partial U}{\partial x}\] what force does F_x represent?

    • 2 years ago
  7. Hunus Group Title
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    Because if F is the force of the spring, then wouldn't it be positive on the third picture? And if it was positive wouldn't dudx have to be negative?

    • 2 years ago
  8. Vincent-Lyon.Fr Group Title
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    Your problem is not asking about a negative force, but about a negative energy. For which x can ½kx² be negative?

    • 2 years ago
  9. Hunus Group Title
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    I'm reading through a book on classical mechanics and I'm having a difficult time understanding when the force is positive\[F_x=−\frac{∂U}{∂x}\]

    • 2 years ago
  10. mos1635 Group Title
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    when F positive dx is negative??

    • 2 years ago
  11. Vincent-Lyon.Fr Group Title
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    Draw the function U(x)=½kx² For what values of x is the tangent to the curve positive/negative ? As Fx = -dU/dx, you will know the sign of Fx.

    • 2 years ago
  12. Vincent-Lyon.Fr Group Title
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    dU/dx is the derivative of U with respect to x. Its value is the gradient of the tangent to the curve at point (x,U(x)).

    • 2 years ago
  13. Vincent-Lyon.Fr Group Title
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    Quote : Well, when you have the equation Fx=−∂U/∂x what force does F_x represent? Answer : it reprensents the force exerted by the spring on the block.

    • 2 years ago
  14. Hunus Group Title
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    Thank you

    • 2 years ago
  15. Vincent-Lyon.Fr Group Title
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    Welcome :)

    • 2 years ago
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