At a particular instant in time, a train is traveling north at 5 m/s and decelerating at a rate of 0.5 m/s2 as it enters a right turn (eastward) with a radius of curvature of 100 m. at the front of the train a record player is spinning a record on a horizontal surface at a rate of 6 rad/s counter-clockwise with an angular deceleration of 0.5 rad/s2. on top of the spinning record, an ant is walking directly toward the center with a velocity of 0.1 m/s and an acceleration of 0.01 m/s2. at the same instant that the train enters the eastward curve, the ant is 0.2m from the center of the record and is located directly to the east of the center, such that he is walking due west. what is the magnitude of the ant's total acceleration relative to the ground?

Ahypothesis is? close agreement by competent observers of observations of the same phenomena. a guess that has been tested over and over again and always found to be true. an educated guess that has yet to be proven by experiment. the long side of a right triangle. a synthesis of a large collection of information that includes guesses.

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)

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k