Consider a 45-cm-long journal bearing that is lubricated with oil whose viscosity is 0.1 kg/m·s at 20°c at the beginning of operation and 0.008 kg/m·s at the anticipated steady operating temperature of 80°c. the diameter of the shaft is 8 cm, and the average gap between the shaft and the journal is 0.08 cm. determine the torque needed to overcome the bearing friction initially and during steady operation when the shaft is rotated at 1450 rpm.

A23 kg log of wood begins from rest, 300 m up a sluice (a water track used to transport logs, think of it as an inclined plane with negligible friction) inclined at 20° to the horizontal. after it reaches the flat waterway at the bottom it collides elastically with a 100 kg block of wood initially at rest near the base of the incline. (a) how long does it take the 23 kg log to travel down the incline? (b) what is the speed of the 23 kg log at the bottom of the incline? (c) what are the velocities of both blocks of wood after the collision? (d) what is the total kinetic energy before the collision? (e) what is the kinetic energy of the 23 kg log after the collision? (f) what is the kinetic energy of the 100 kg block of wood after the collision? (g) what is the total kinetic energy after the collision? (h) compare the total initial and total final kinetic energies. is this consistent with what you would expect for elastic collisions? explain!