Calculating Spring Constant: 7.00 kg Mass on Vertical Spring Scale

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The discussion revolves around calculating the spring constant for a lower spring when a 7.00 kg mass is applied. Initially, the spring scale reads 68.6 N just before contact with the lower spring. When the lower spring compresses by 1.5 cm, the scale reads 20 N, indicating that the spring exerts a force of 48.6 N. To find the spring constant (k), the equation F = kx should be used, where F is 48.6 N and x is 0.015 m. The confusion arises from incorrect calculations and unit conversions, emphasizing the importance of careful analysis of forces and units.
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A 7.00 kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in the figure.

I got the first part, What does the spring scale read just before the mass touches the lower spring? which was, 68.6 N

Dont understand how to approch, The scale reads 20.0 N when the lower spring has been compressed by 1.50cm . What is the value of the spring constant for the lower spring?...i know I am trying to find k

and also, At what compression length will the scale read zero?

wouldnt this be when the mass is all the way on the spring?
 

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anyone got any help?
 
Do the forces analysis and Remember Hooke's Law F = kx or in Vectorial form \vec{F} = k \vec{x}
 
still wondering, i know F=kx, F, being 68.6 and x = 1.5 cm, right? but that k isn't the right answer. i must be doing it wrong, but what?
 
You know springs has a restorative force that will restore the spring back to its equilibrium position.
 
It doesn't seem that you've made use of the given information: that the scale reads 20 N. If the scale reading is 20 N, what must be the force the spring is exerting on the mass?
 
ALRIGHT, here's what i did, mupltipled, 68.6*48.6=3333.4 put that in for my homework online and it says i have a rounding error, i tried 5 diffrent things and it says the same thing, now i have 2 trys or i get a 0, anyone know what's wrong?
 
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I have no idea what you are up to with that calculation! Looks like you randomly multiplied two numbers. :mad:

But... if the scale reads 20 N, that means the spring must be providing 68.6-20 = 48.6 N of force. The amount of compression associated with that spring force is given as 1.5 cm. Use F = kx to find k. (Careful of units!)
 
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