Spring in a motionless elevator

In summary, a mass of 3.1 kg hangs from a spring in a motionless elevator with the spring extended 11 cm from its unstretched length. Using the equation F=-kx, the spring constant can be determined by setting the weight force equal to the spring force. After drawing a free body diagram, the solution is found to be -kx=mg.
  • #1
mrshappy0
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Homework Statement



A single mass m1 = 3.1 kg hangs from a spring in a motionless elevator. The spring is extended x = 11 cm from its unstretched length.
1)What is the spring constant of the spring?

Homework Equations



F=-kx


The Attempt at a Solution



Having trouble setting this one up. I know it is easy but the spring confuses me. I drew a free body diagram and I am still lost.
 
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  • #2
Hi there! The only forces on the mass will be the weight force (w = mg) pulling down, and the spring force (F = -kx) pulling up. Since the mass is not accelerating, these two forces will be equal and opposite.
 
  • #3
Yup, got it. -kx=mg. Durrrr. Thanks.
 

1. How does a spring behave in a motionless elevator?

When a spring is placed in a motionless elevator, it will remain in its original position and will not expand or contract. This is because there is no external force acting on the spring to change its shape or size.

2. Will the spring experience any changes in its potential or kinetic energy?

Since the elevator is not moving, there is no change in the spring's potential energy or kinetic energy. The spring will remain in a state of equilibrium, with its potential energy stored in its compressed or stretched state.

3. How does the weight of the elevator affect the spring's behavior?

The weight of the elevator will have no effect on the spring's behavior, as long as the elevator remains motionless. The spring will only respond to external forces, such as gravity or a person pushing or pulling on it.

4. Can the spring be compressed or stretched while in a motionless elevator?

Yes, the spring can still be compressed or stretched by applying an external force, such as a person pushing or pulling on it. However, the spring will return to its original position once the external force is removed, as there is no force acting on it to maintain the compression or stretch.

5. How does the air pressure inside the elevator affect the spring's behavior?

The air pressure inside the elevator will have no direct effect on the spring's behavior. However, changes in air pressure can indirectly affect the spring, as it may cause the elevator to move and create external forces on the spring. In a motionless elevator, the air pressure will not impact the spring's behavior.

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