Solve Spring Equilibrium Homework: Find a-g | Physics

AI Thread Summary
The discussion revolves around a physics homework problem involving a mass attached to a spring and the effects of a constant force on the system. The key points include calculating the work done by the constant force, the change in potential energy of the spring, and understanding how the equilibrium position changes due to the applied force. The equilibrium position shifts because the additional force alters the balance of forces acting on the mass, leading to a new mean displacement. The conversation emphasizes the distinction between static and dynamic equilibrium in the context of simple harmonic motion. Overall, the change in equilibrium is a result of the increased displacement caused by the constant force applied to the system.
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Homework Statement


A mass (m = 1.20 kg), originally at rest, is attached to one end of an unstretched spring (k = 790 N/m) and the other end is fixed to a wall. The mass is then pulled with a constant force to stretch the spring. As a result, the system comes to a momentary stop after the mass is moved 14.0 cm. Find the:
a) work done by the constant force
b) change in potential energy of the spring --same answer as a)
c) change in mechanical energy of the system --same answer as a)
d) total work done by non-conservative forces --same answer as a)
e) speed of the mass 4.00 cm into the motion
f) the new equilibrium position of the system
g) maximum speed of the mass and where it occurs

The only question I have so far is f): why would the equilibrium position change? I am just looking for a conceptual answer here.
Note: there is no friction anywhere

Homework Equations


N/A

The Attempt at a Solution


N/A
 
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think of the "additional constant force" like increasing the original mass. Since F = -kx, greater force means more displacement to get to equilibrium
 
I should add that there is no friction anywhere*
As far as I understand, equilibrium refers to the mean displacement of the simple harmonic motion. Though now I think equilibrium refers to dynamic equilibrium between forces. Is this correct?
 
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