A block of mass M, supported by a string, rests on a frictionless incline making an angle theta with the horizontal. The length of the string is L andthe mass is m (m << M). Derive an expression for the time interval required for a transverse wave to travel from one end of the string to the other.

An insulated 40 ft^3 rigid tank contains air at 50 psia and 120°f. a valve connected to the tank is now opened, and air is allowed to escape until the pressure inside drops to 25 psia. the air temperature during this process is kept constant by an electric resistance heater placed in the tank. determine the electrical work done during this process.

The air in an automobile tire with a volume of 2.60 ft3 is at 70°f and 21 psig. determine the amount of air that must be added to raise the pressure to the recommended value of 30 psig. assume the atmospheric pressure to be 14.6 psia and the temperature and the volume to remain constant. the gas constant of air is ru = 53.34ft⋅lbflbm⋅r(1 psia144 lbf/ft2) = 0.3704 psia⋅ft3lbm⋅r the amount of air that must be added to raise the pressure is lbm

Drag the tiles to the correct boxes to complete the pairs. match the jobs with the education requirements. childcare director clinical psychologist concierge cosmetologist vocational school and state licensure arrowright on-the-job training arrowright a ph.d. with licensure or certification, depending on the state in which you live arrowright a bachelor’s degree in early childhood development arrowright