A96-mh solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. a coil is tightly wound around the solenoid at its center. the coil's resistance is 9.9 ohms. the mutual inductance of the coil and solenoid is 31 μh. at a given instant, the current in the solenoid is 540 ma, and is decreasing at the rate of 2.5 a/s. at the given instant, what is the magnitude of the induced current in the coil? (μ0 = 4π × 10-7 t ∙ m/a)

Newton's law of universal gravitation states that the force f between two masses, m1 and m2, is given below, where g is a constant and d is the distance between the masses. find an equation that gives an instantaneous rate of change of f with respect to d. (assume m1 and m2 represent moving points.)

Athin, square metal plate measures 14 cm on each side and has emissivity of 0.60. the plate is heated to a temperature of 745°c. what is the rate at which the plate radiates energy ? the stefan-boltzmann constant is 5.67 × 10-8 w/(m2 ? k4). remember that the plate will radiate energy from both its top and bottom surfaces.

Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?