For a stiff spring, the value of spring constant is:
Correct answer: A. Higher
- A. Higher
- B. Lower
- C. Intermediate
- D. Zero
Explanation
According to Hooke's law, the force F required to extend or compress a spring by some distance x is directly proportional to that distance, with the constant of proportionality being the spring constant k. Mathematically, we can write:F = kxFrom this equation, we can see that if the force required to extend or compress the spring is high for a given distance, then the value of k must also be high. Therefore, for a stiff spring, the spring constant is higher.
This question appeared on the NUMS 2019 (cancelled sitting) paper, which you can sit online with every answer explained.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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