Conceptual Questions Chap. 13 1. If a spring is cut in half, what happens to its spring constant? The force exerted by a spring is proportional to the separation of the coils. The coil separation of a half-spring will be twice as large as that of the full spring for a given stretched length of the spring. Thus, each half-spring will have twice the spring constant of the full spring. 2. 3. If an object-spring system is hung vertically and set into oscillation, why does the motion eventually stop? Friction. This includes both air resistance and damping within the spring. If a grandfather clock were running slow, how could we adjust the length of the pendulum to correct the time? Shorten the pendulum to decrease the period between ticks. 4. What happens to the wavelength of a wave on a string when the frequency is doubled? Assume the tension in the string remains the same. If the tension remains the same, the speed of a wave on the string does not change. This means, from v = lf, that if the frequency is doubled, the wavelength must decrease by a factor of two.