Two identical springs of rigidity k each were connected in parallel. Find the stiffness of the resulting compound spring.

When the springs are connected in parallel, the stiffness of the composite spring is equal to the sum of the stiffnesses of each of the springs, which is expressed by the formula

k = k1 + k2

where k is the stiffness of the double spring, k1 and k2 are the springs that make it up.

Since in our case both springs have the same stiffness k1 = k2

then the stiffness of the composite spring will be

k = k1 + k2 = 2k

Answer: The stiffness of the resulting composite spring is 2k.

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