Question

4. (25 points) In a famous Physics 218 experiment it was discovered that a real spring doesn't totally follow Hooke's Law. The force exerted by the spring is found to be a linear function of the amount stretched, as Hooke's Law says. However, instead of having Fy -ky where y is the amount stretched, the actual force exerted by the spring is approximately given by F,-(ky+b). Here k and b are known constants. Thus if the spring is vertical there will be no stretching of the spring when a mass m is hung from it unless mg is greater than b. spriną hot stretched a. Given this force, with b known, determine the equilibrium amount the spring will be stretched if a mass with mg> b is suspended from it. (Call this yeg as in the lab.) か : b. Find the maximum value of the spring's extension if such a mass were released from rest from y 0, the point where the spring is not stretched. How is this distance related to yeq c. Find the maximum value of the mass's kinetic energy if it were released from rest from the point y- 0. (Not too much algebra please.)

Answer 1