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Explain Bot To determine the length of an elastic cord when a force of 2.8N is applied, you need to know the spring constant of the cord and Hooke's Law.
Hooke's Law states that the force applied to an elastic material is directly proportional to the extension or compression of that material. Mathematically, it can be expressed as:
F = k * x
where F is the force applied, k is the spring constant, and x is the displacement from the equilibrium position.
Traditionally, the spring constant (k) is given in units of force per unit length (N/m). However, since you already have the force (2.8N), you need to measure or find the spring constant of the elastic cord to compute the length.
If you have the spring constant, you can rearrange Hooke's Law to solve for the displacement (x):
x = F / k
Once you know the displacement, you can determine the length of the elastic cord by measuring its original length and adding or subtracting the displacement from it, depending on whether the cord is stretched or compressed.
Please note that without the specific spring constant (k) or any additional information about the elastic cord, it is not possible to determine the exact length when 2.8N is applied.