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PilotLPTM [1.2K]
3 years ago
5

The potential energy of a body of mass m is given by U(x) = -mgx + 1/2kx^2. The corresponding force is​

Physics
1 answer:
jonny [76]3 years ago
4 0

Answer:

 F = (mg - kx)  i ^

Explanation:

Force and potential are related

         F = - (\frac{dU}{dx} i ^ + \frac{dU}{dy} j ^ + \frac{dU}{dz} k ^)

in this exercise we are told that the potential is

         U = - m g x + ½ kx²

let's make the drive

         \frac{dU}{dx} = -mg + kx

         \frac{dU}{dy}= 0

          \frac{dU}{dz} = 0

we substitute

         F = (mg - kx)  i ^

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Answer:

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