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What is the spring constant of a spring that stretches 65 cm with a weight of 75 N and 85 cm with 180 N?
This seems to be two separate questions:
k = F/x
F is your Force, in this case 75 N
when the spring is initially at rest:
x is a distance elongated from rest, in the first case it is 65 cm
therefore k, your spring constant, is 75N/65 cm
equivalently k = 1.154 N/cm = 115.4 N/m
do the same thing for the next one
If it is one question, then it may be implying that the spring is not initially at rest?
in ths case x represents something slightly different numerically
x = stretched distance - relaxed length
in that case, you have a system of two linear equations
simply solve these two equations in terms of k and relaxed length and substitute to get what youre looking for
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