A 10 kg mass slides down a frictionless 10m radius pipe, then up a ramp with frictional coefficient k = (.

A 10 kg mass slides down a frictionless 10m radius ¼ pipe, then up a ramp with frictional coefficient k = (.1 + .25x/10), finally across a horizontal rough surface with frictional coefficients of static = 0.5 and kinetic of 0.25, to be brought to rest by compressing a spring whose spring constant is 100N/m. Determine: a) The velocity of the mass at the bottom of the first ramp. (A) b) The speed of the block when it reaches the top of the second ramp (B). (If you didn’t get part a you may assume vA = 15m/s) c) The distance the spring is compressed. (If you didn’t get part b, you may assume vB =7.5m/s) d) Will the block remain at rest with the spring compressed? (If you didn’t get part c assume the spring is compressed by .5m) Picture at : http://tinypic.com/r/lv2g2/9