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 13.8 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 joules)?
(b) What is the x-component of the total momentum of the two blocks after the collision? (Indicate the direction with the sign of your answer.)
(c) 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.)