the spring constant tells you how much force you need to apply to stretch (or compress a spring) by an amount of 1 meter
so if the spring constant is 100N/m, then you have to apply a force of 100N to stretch it by one meter
the greater the value of k, the more force you need to exert to stretch/compress it.
CBSE Class 9 Answered
sir can u plz explain me what is spring constant and how can we derive its formula of 1/2.k.x.x
Asked by | 27 Oct, 2012, 02:13: PM
Expert Answer
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The spring constant, k , is a measure of the stiffness of a spring (large k 
stiff spring, small k soft spring). To compress a spring by a distance 
x we must apply a force F ext = kx . By Newton's 3rd law, if we hold a spring in a compressed position, the spring exerts a force Fs = - kx . This is called a linear restoring force because the force is always in the opposite direction from the displacement.
stiff spring, small k soft spring). To compress a spring by a distance x we must apply a force F ext = kx . By Newton's 3rd law, if we hold a spring in a compressed position, the spring exerts a force Fs = - kx . This is called a linear restoring force because the force is always in the opposite direction from the displacement.In other words,
For a spring
F = -kx
where F is the force exerted by the spring, k is the spring(stiffness) constant and x is the extension of the spring
Work = Force * Distance
For a spring, force is not constant so you use average force * distance =
1/2*Force*Distance =(1/2)Fx
If you substitute F = -kx into 1/2(Fx) (F is negative so energy is gained) as F ,it becomes 1/2(kx)x
So
Elastic potential energy = 1/2kx2
F = -kx
where F is the force exerted by the spring, k is the spring(stiffness) constant and x is the extension of the spring
Work = Force * Distance
For a spring, force is not constant so you use average force * distance =
1/2*Force*Distance =(1/2)Fx
If you substitute F = -kx into 1/2(Fx) (F is negative so energy is gained) as F ,it becomes 1/2(kx)x
So
Elastic potential energy = 1/2kx2
Answered by | 27 Oct, 2012, 08:47: PM
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