HOOKE’S LAWthe extension of a spring is in direct proportion withthe load added to it
Question
HOOKE’S LAWthe extension of a spring is in direct proportion withthe load added to it
Solution
Hooke's Law, named after the British physicist Robert Hooke, states that the force (F) needed to extend or compress a spring by some distance (x) is proportional to that distance. That is:
F = kx
Where:
- F is the force applied,
- x is the displacement of the spring (extension or compression),
- k is the spring constant or force constant of the spring.
The spring constant (k) is a measure of the spring's stiffness. A spring with a larger spring constant is harder to stretch than a spring with a smaller spring constant.
The direction of the force is always such that it tends to restore the spring toward its natural length. This is why the force F is often written as -kx, where the negative sign shows that the force exerted by the spring is a restoring force, acting to return the spring to its natural length.
This law holds true until the force exceeds the elastic limit of the spring material. Beyond this point, the spring will not return to its original length and will be permanently deformed.
Similar Questions
Hooke's law describes a certain light spring of unstretched length 38.0 cm. When one end is attached to the top of a door frame and a 8.00-kg object is hung from the other end, the length of the spring is 41.0 cm.(a) Find its spring constant. 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 170 N. Find the length of the spring in this situation. cm
A weight of 2.0 N is hung from a spring. The extension produced is 6.0 cm. The 2.0 N weight is removed and an 8.0 N weight is hung from the spring. The spring does not pass its limit of proportionality.What is the new extension of the spring?
Technician A says that Hooke's Law states that when a coil spring is compressed 1 inch, it pushes back with a certain force, depending on the elasticity of the spring. Technician B says that the spring force is equal to the force in pounds divided by the amount of inches of compression. Which technician is correct?
The tension in a horizontal spring is directly proportional to the extension of the spring. The energy stored in the spring at extension x is E. What is thework done by the spring when its extension changes from x to x/4?A. E/16B. E/4C. 3E/4D. 15E/16
A Hooke's law spring is compressed 12.0 cm from equilibrium, and the potential energy stored is 36.0 J. What compression (as measured from equilibrium) would result in 100 J being stored in this case?Select one:a.The correct answer is not given.b.14.1 cmc.13.6 cmd.20.0 cm
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