A horizontal force P is applied to the crate shown in the Figure, where applicable data and dimensions are also given. Assume that the center of mass is at the geometric center of the crate. 1. Find the minimum force P required to start motion by slipping. 2. Find the minimum force P required to start motion by tipping. (Common sense of course tells us that the lesser of the two results above is that which actually occurs.) 3. Find the value of height, h, (in feet) where the results of parts (1) and (2) above will become equal. (That is, find where the horizontal force P must be applied such that the forces required to initiate slipping and tipping are equal.) As shown in Fig. P6.47, an insulated box is initially divided into halves by a frictionless, thermally conducting piston. On one side of the piston is 1.0 m of air at 400 K, 3 bar. On the other side is 1.0 m of air at 400 K, 1.5 bar. The piston is released and equilibrium is attained, with the piston experiencing no change of state. Employing the ideal gas model for the air, determine a. the final temperature of the air, in K. b. the final pressure of the air, in bar. c. the amount of entropy produced, in kJ/K. V1 initial = 1.0 m T initial = 300 K P1 initial = 3 bar Insulation 1 Air - Movable piston Air V2 initial = 1.0 m T2 initial = 300 K P2 initial = 1.5 bar