A small 0.10-kg block starts from rest at point A, which is at a height of 1.0 m. The surface between points A and B and between points C and D is frictionless, but is rough between points B and C, having a coefficient of friction of 0.10. After traveling the
distance l = 1.0 m, the small block strikes a larger block of mass 0.30 kg, and sticks to it,
compressing the spring to a maximum distance x = 0.50 m. Determine
(a) the speed of the 0.10-kg block at point B.
(b) the acceleration of the 0.10-kg block between points B and C.
(c) the speed of the block at point C.
(d) the speed of the combined small and large block immediately after they collide.
(e) the spring constant of the spring.