Hooke's law describes a certain light spring of unstretched length 34.8 cm. When one end is attached to the top of a doorframe and a 8.22 kg object is hung from the other end, the length of the spring is 40.8 cm. (a) Find its spring constant. 1342.6 kN/m (b) The load and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 205 N. Find the length of the spring in this situation. m

a) , b)

Explanation:

a) The Hooke's law states that spring force is directly proportional to change in length. That is to say:

In this case, the force is equal to the weight of the object:

The spring constant is:

b) The length of the spring is:

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