Solve Spring Constant: 40g Mass, 20N/m

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Homework Help Overview

The problem involves a mass of 40 grams attached to a vertical spring with a spring constant of 20 N/m. The objective is to determine how much the spring is stretched when the mass is lowered slowly until the spring stops stretching.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between force and spring stretch, questioning how to determine the force acting on the spring. There is an exploration of the weight of the mass and its role in the problem.

Discussion Status

Participants are actively engaging with the problem, with some offering hints about calculating weight and gravitational force. There is a recognition that the mass's weight can be determined using the formula F = mg, and the implications of the mass being lowered slowly are being considered.

Contextual Notes

The discussion includes considerations about the acceleration of the mass and its effect on the forces involved, as well as the assumption that the spring is in equilibrium when it stops stretching.

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Homework Statement


A mass of 40.0 grams is attached to a vertical spring with a spring constant k = 20.0 N/m and lowered slowly until the spring stops stretching. How much is the spring stretched?


The Attempt at a Solution


I assume I have to use F = -kx? But I don't know the force so how would I figure this out? I am really stuck. Please help.
 
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Hint: How much does the mass weigh?
 
40.0 grams, but how is that a hint? F = ma and I don't know acceleration, so how does the mass help?
 
Given a mass 'm', how do you figure out its weight? What gravitational force acts on it?
 
Would it be F = mg? It said the spring was lowered slowly so I assumed the acceleration was slower than gravity.
 
ajmCane22 said:
Would it be F = mg?
Yes!
It said the spring was lowered slowly so I assumed the acceleration was slower than gravity.
mg gives the weight of an object regardless of its acceleration. (If the object were dropped, so that the only force acting was gravity, then its acceleration would be g.)
 
Thanks! :)
 

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