Consider the system in Figure 1. The block is launched using a compressed horizontal spring of stiffness k equals 5 pounds per inch. Then the block moves up a curved surface in the xy plane. The y-axis is directed upward, the x-axis is directed to the right. The free end of the relaxed spring is at the origin B. Point 'A' is at the edge of the curved surface, 1 foot in the positive x-direction.
Part A:
Determine the smallest amount the spring at B must be compressed against the 0.4-lb block so that when the block is released from B, it slides along the smooth surface and reaches point A.
Express your answer in inches to three significant figures.