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Hooke’s Law states that the force needed to keep a spring stretched x units beyond its natural length is directly proportional to x. Here the constant of proportionality is called the spring constant. (a) Write Hooke’s Law as an equation. (b) If a spring has a natural length of 5 cm and a force of 30 N is required to maintain the spring stretched to a length of 9 cm, find the spring constant. (c) What force is needed to keep the spring stretched to a length of 11 cm?
varies inversely as the square root of and when , find when .
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