Mark watney begins his day 15 km west and 25 km north of his mars habitat. a. set up a co-ordinate system (draw labeled axis and tickmarks showing the scale) and draw a vector representing the initial position of mark watney. b. mark spends his day driving his mars rover towards schiaparelli crater and manages to make it an additional 20 km west but has to go around a hill so ended up 5 km south of his starting point for the day. draw a vector representing mark's total position change for the day. c. using vector addition find mark's position relative to the mars habitat. give both the numerical description of the vector and show it on your plot.

Steam is generated in a boiler of a cogeneration plant at 10 mpa and 450°c at a steady rate of 5 kg/s. in normal operation, steam expands in a turbine to a pressure of 0.5 mpa and is then routed to the process heater, where it supplies the process heat. steam leaves the process heater as a saturated liquid and is pumped to the boiler pressure. in this mode, no steam passes through a condenser, which operates at 20 kpa. (a) determine the power produced in the turbine and the rate at which process heat is supplied in this mode. (b) determine the power produced in the turbine and the rate of process heat supplied if only 60 percent of the steam is routed to the process heater and the remainder is expanded to the condenser pressure. (3.32 mw; 9.69 mw; 4.25 mw; 5.82 mw)

Apotter's wheel moves uniformly from rest to an angular speed of 0.20 rev/s in 32.0 s. (a) find its angular acceleration in radians per second per second. rad/s2 (b) would doubling the angular acceleration during the given period have doubled final angular speed?

When measuring volume, why is it important to use the correct tools and units to attain the greatest accuracy? use specific examples from the lab to support your answer. (5 points)