Question

scientists are creating a material that may replace damaged cartilage in human joints. this hydrogel can stretch to 21 times its original length. if a strip of hydrogel measures 3.2 cm, what would its length be when stretched to capacity?

Explanation:

Step1: Analyze the problem

We need to find the stretched length. The formula is \( \text{Stretched length}=\text{Original length}\times\text{Stretching factor}\).

Step2: Substitute the values

Given original length \(l = 3.2\) cm and stretching factor \(k=21\). Then \( \text{Stretched length}=3.2\times21\).

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Answer:

The length of the hydrogel when stretched to capacity is \(67.2\) cm.