Chapter 16, Problem 16.76CP

CP Longitudinal Waves on a Spring. A long spring such as a Slinky™ is often used to demonstrate longitudinal waves. (a) Show that if a spring that obeys Hooke’s law has mass m, length L, and force constant k′ the speed of longitudinal waves on the spring is $\upsilon =L\sqrt{k^{\prime }/m}$ (see Section 16.2). (b) Evaluate υ for a spring with m = 0.250 kg. L = 2.00 m, and k′ = 1.50 N/m.