Take a spring and cut it in half to make two springs. Is the spring constant of

Question

Take a spring and cut it in half to make two springs.

Is the spring constant of these smaller springs larger, smaller, or the same as the spring constant of the original spring? Choose the correct explanation.

A) The spring constant of each half will be twice the spring constant of the original long spring since it will stretch twice as much under the same tension.

B)

The spring constant of each half will be twice the spring constant of the original long spring since it will stretch only half as much under the same tension.

C) The spring constant of each half will be half the spring constant of the original long spring since it will stretch only half as much under the same tension.

D) The spring constant of each half will be half the spring constant of the original long spring since it will stretch twice as much under the same tension.

A) The spring constant of each half will be twice the spring constant of the original long spring since it will stretch twice as much under the same tension.

B)

The spring constant of each half will be twice the spring constant of the original long spring since it will stretch only half as much under the same tension.

C) The spring constant of each half will be half the spring constant of the original long spring since it will stretch only half as much under the same tension.

D) The spring constant of each half will be half the spring constant of the original long spring since it will stretch twice as much under the same tension.

Explanation / Answer

The spring constant of each half will be twice the spring constant of the original long spring since it will stretch only half as much under the same tension.

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