If it takes 4.0 N to stretch a spring 6.0 cm and if the spring is then cut in half, then force it takes to stretch one of the halves 3.0 cm is also 4N.
When a spring is stretched, its length changes by an amount x from its equilibrium length, and it exerts a force F = -k x in a direction towards its equilibrium position.
Given, F= 4 N
x= 6 cm
As we know that, F= k x
4= k * 6
k = 4/6
when , x = 3 cm, K become 2 times= 2 x
Now, Force= 2* 4/6 * 3
Force to stretch= 4 N
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