Q. A light spring with a spring constant of 87.0 N/m rests vertically on the table, as shown in (a) below. A 1.75 g balloon is filled with helium (0°C and 1 atm pressure) to a volume of 4.44 m3 and connected to the spring, causing the spring to stretch, in (b) below. How much does the spring stretch when the system is in equilibrium. (The density of helium is 0.179 kg/m3. The magnitude of the spring force equals kΔx.)
Q. Two identical piano wires have a fundamental frequency of 550 Hz when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of 2 beats/s when both wires oscillate simultaneously?