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math111
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Homework Statement
Problem:A force of 5kg compresses the spring in series 10cm. What will be the total distance that the springs in parallel are compressed.
Givens: S1,S2,S3,S4 are in parallel being forced by a 5kg weight.
Homework Equations
F=-kx but k is not given so it is assumed to be 1
The Attempt at a Solution
(1) S1 and S2 in series with 5 Kg load: S1 gets the 5Kg load and S2 gets the 5 Kg Load so S1+S2 = 10Kg total load. F=kX-->10Kg=(1)(X)--> X=10cm
Example given with solution
(2)S1 and S2 in parallel with 5 Kg load:S1 and S2 get the 5Kg Load so there is a split among them. S1+S2 = 5kg-->5Kg=(1)(X)-->X=5cm
This is where my issue is
(3)S1,S2,S3,S4 are in parallel with a 5Kg load: S1 and S2 and S3 and S4 get the 5Kg load so there is a split among them. S1+S2+S3+S4=5Kg-->5Kg=(1)(X) = 5cm.
How can having two springs in parallel(2) and four spring in parallel(3) be the same?
I have a feeling my math in wrong so please help me if posible.