A1.55-m-long metal bar is pulled to the right at a steady 5.7 m> s perpendicular to a uniform, 0.710-t magnetic field. the bar rides on parallel metal rails connected through a 24.7@ resistor (fig. e29.30), so the apparatus makes a complete circuit. ignore the resistance of the bar and the rails. (a) calculate the magnitude of the emf induced in the circuit. (b) find the direction of the current induced in the circuit by using (i) the magnetic force on the charges in the moving bar; (ii) faraday’s law; (iii) lenz’s law. (c) calculate the current through the resistor.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Steam enters a converging nozzle at 3.0 mpa and 500°c with a at 1.8 mpa. for a nozzle exit area of 32 cm2, determine the exit velocity, mass flow rate, and exit mach number if the nozzle: negligible velocity, and it exits (a) is isentropic (b) has an efficiency of 94 percent

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.