A block with mass m is launched by a spring (spring constant k) onto a track from a height h. The track ends in a series of loops, each with radius R. a. If there is no friction, what is the minimum compression x of the spring that will ensure the block never falls out of the loops? b. Say that k 500 N/m, the initial compression isx = 10.0 cm, h=5.00 m, m=0.100 kg, and R=0.500 m. If the block undergoes a constant drag force of 0.05 N, how many loops can the block complete before it falls out? Assume the path length before the loops is 8.00 m. c. The track is now reshaped so that the 4th loop ends in a ramp that launches the block (from ground level) up at a 45 angle. Using a conservation of energy approach, determine the maximum height of the block above the ramp. Include the drag from part (b) while the block is on the track. R %3D