1478 Two springs, each of unstretched length 20 cm, are attached to opposite ends of a block of mass 100 gm on a frictionless horizontal surface. The spring on the P1 10 cm - 20 cm 20 can- 10 cm Pz left has k, = 1000 dynes/cm, and the spring on the right has k2 = 3000 dynes/cm. The outer ends of the springs are now connected to posts P1 and P2 as shown, each post being 10 cm from the original ends of the springs. (a) Find the length of each spring after the block is in its new equilibrium position. (b) Find the period of vibration of the block if it is displaced slightly from its new equil- ibrium position and released. 65+1