A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 9.50 rev/s; 45.0 revolutions later, its angular speed is 19.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 45.0 revolutions, (c) the time required to reach the 9.50 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 9.50 rev/s angular speed.

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On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30° north of east and the 0.400 kg block is moving at 11.2 m/s in the direction 53.1° south of east. use coordinates where the +x-axis is east and the +y-axis is north.(a) what is the total kinetic energy of the two blocks after the collision (in ) what is the x-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your ) what is the y-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your answer.)