Spaceship alpha moves at a velocity of 0.80c in the y direction. spaceship boom moves in the -x direction at a speed of 0.60c. both relative to the earth. let the earth be stationary frame k. let spaceship boom be the moving frame k'. part a) what are v, ux, and uy? part b) calculate ux' and uy' which are components of spaceship alpha's velocity in the k' frame.

Air is contained in a variable-load piston-cylinder device equipped with a paddle wheel. initially, air is at 400 kpa and 17°c. the paddle wheel is now turned by an external electric motor until 75 kj/kg of work has been transferred to air. during this process, heat is transferred to maintain a constant air temperature while allowing the gas volume to triple. calculate the required amount of heat transfer in kj/kg.