The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newtons is 2cm, find the extension ...
Question 1 Report
The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newtons is 2cm, find the extension produced by a tension of 12 Newtons.
Answer Details
Since the extension of a stretched string is directly proportional to its tension, we can use the formula:
extension = k * tension
where k is a constant of proportionality. We can find k by using the known values of tension and extension:
k = extension / tension k = 2 cm / 8 N = 0.25 cm/N
Now that we have found k, we can use it to find the extension produced by a tension of 12 Newtons:
extension = k * tension extension = 0.25 cm/N * 12 N = 3 cm
So, the extension produced by a tension of 12 Newtons is 3 cm.
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