A 7 kg block is sliding across a horizontal surface with a speed of 4 m/s. The surface then slopes downward creating a 35 degree inclined plane. After the block travels 6 meters down the incline, the surface becomes horizontal. It then travels another 2 meters before it collides with a 3500 N/m horizontal spring. All surfaces are frictionless. Use energy conservation to do the following. (a) Calculate the maximum compression of the spring. (b) Calculate the speed of the block when the spring is compressed by half this amount.