Answer:
2N/cm
Step-by-step explanation:
According to the Hooke's Law, the force required to extend or compress a spring is directly proportional distance you can stretch it, which is represented as:
[tex]F=kx[/tex]
where, [tex]F[/tex] is the force which is stretching or compressing the spring,
[tex]k[/tex] is the spring constant; and
[tex]x[/tex] is the distance the spring is stretched.
Substituting the given values to find the elastic constant [tex]k[/tex] to get:
[tex]F=kx[/tex]
[tex]4=k(2)[/tex]
[tex]k=\frac{4}{2}[/tex]
[tex]k=2[/tex]
Therefore, the elastic constant is 2 Newton/cm.