olenoid is constructed by wrapping 52 turns of wire around a cylinder with a cross-sectional area of 8.0 x 10-4 m2. When the solenoid is shortened by squeezing the turns closer together, the inductance increases to 9.30 x 10-5 H. Determine the change in the length of the solenoid.

Two masses are connected by a rope that hangs over a pulley as shown below. the pulley is a uniform cylinder of radius 푅=0.381meters and mass 푀=3.1푘푔. initially 푚"is on the ground and 푚#rests 2.5 meters above the ground. if the system is released, use conservation of energy to determine the speed of 푚#just before it strikes the ground. assume the pulley bearing is frictionless.