A stone thrown from the top of a building is given an initial velocity of 25 m/s straight upward. The building is 70 m high, and the stone just misses the edge of the roof on its way down, as shown in Figure (1). Using ta=0 as the time the stone leaves the thrower's hand at position A, determine: (A) The time at which the stone reaches its maximum height, (B) The maximum height, (C) The time at which the stone returns to the height from which it was thrown, (D) The velocity of the stone at this instant, and 70 m (E) The velocity and position of the stone at t= 5 s. Figure (1): Position and velocity versus time for a freely falling stone thrown initially upward with a velocity vy=25.

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Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.