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?
Question
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?
Solution 1
Technician A is correct. Hooke's Law states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed away from its relaxed position. This force can be calculated by multiplying the spring constant (which depends on the elasticity of the spring) by the displacement (how much the spring is compressed or stretched).
Technician B is incorrect. The force exerted by the spring is not equal to the force in pounds divided by the amount of inches of compression. Instead, the force is equal to the spring constant multiplied by the amount of compression (or extension).
Solution 2
Technician A is correct. Hooke's Law states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed away from its relaxed position. This force can be calculated by multiplying the spring constant (a measure of the spring's stiffness) by the displacement of the spring.
Technician B is incorrect. The force exerted by a spring is not calculated by dividing the force in pounds by the amount of inches of compression. Instead, the force is calculated by multiplying the spring constant by the displacement of the spring.
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