Two asteroids with equal masses collide in the asteroid belt between Mars and Jupiter. Initially, asteroid A, moving with a velocity of 40 m/s, deviates by an angle of 30º from its initial direction, while the asteroid B, which was initially stationary, deviates at an angle of 45º as shown in the figure. (a) Find the magnitudes of the velocities of both asteroids after the collision. (b) How much of the initial kinetic energy of the asteroid A is dissipated during this collision?

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