A light spring obeys Hooke's law. The spring's unstretched length is 31.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 7.25 kg is hung from the other end. The final length of the spring is 43.0 cm. (a) Find its spring constant (in N/m). 617.8 ✔ N/m (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 170 N. Find the length (in m) of the spring in this situation. x Consider the end of the spring on the right, which exerts a force to the left equal to 170 N. Use F = -kx and your result from part (a), and solve for x. m (c) What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 170 N? m

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).