Consider four different oscillating systems, indexed using . each system consists of a block of mass moving at speed on a frictionless surface while attached to an ideal, horizontally fixed spring with a force constant of . let denote the displacement of the block from its equilibrium position. order the systems from largest total mechanical energy to smallest. 1) m1= 0.5kg k2=500 n/m amplitude a = 0.02 m

2)m2= 0.6kg k2=300 n/m v2= 1 m/s . when passing through equilibrium

3) m3= 1.2kg k3=400 n/m v3= 0.5 m/s . when passing through x= -0.01 m

4) m4= 2 kg k4=200 n/m v4= 0.2 m/s . when passing through x=-0.05 m

A1kg cart slams into a stationary 1kg cart at 2 m/s. the carts stick together and move forward at a speed of 1 m/sl. determine whether kinetic energy was conserved in the collision. use the law of conservation of energy to explain the collision

Classify the following soils according to the uscs classification system. provide appropriate uscs designations. a) this sample of well-graded gravel with sand was obtained from a large earthen dam in vancouver, canada. the sample has 73% fine to coarse sub-angular gravel, 25% fine to coarse sub-angular sand and 2% fines. the maximum size of the particles is 75 mm. the coefficient of curvature is 2.7, while the uniformity coefficient is 12.4. b) this dark brown and wet soil with a “strong organic odor” has 100% passing the no. 200 sieve. the liquid limit of the material is 32% when not dried and is 21% when oven-dried. the plastic index is 21% when not dried. c) this sand has 61% predominantly fine sand, 23% silty fines, and 16% fine sub-rounded gravel size. the maximum size is 20 mm. the liquid limit is 33% and the plastic limit is 27%. d) this soil has 74% fine to coarse sub-angular reddish sand and 26% organic and silty dark brown fines. the liquid limit is 37% when not dried and is 26% when oven dried. the plastic index is 6% when not dried.

What are the north and south poles of a solenoid change with?