Alarge uniform density cube of mass m and side l is floating upright in a pond exactly half submerged. a small steel ball of mass m/2 is dropped directly over its center from the height h. assume that the head-on collision is perfectly elastic and that the steel ball rebounces vertically, 1. find the height the steel ball rebounds. 2. find the depth to which the large cube descends. express your answers in terms of m, l, g, and h. neglect all forms of dissipation and assume that the water surface remains level at all times

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.

Astudent weighing 700 n climbs at constant speed to the top of an 8 m vertical rope in 10 s. the average power expended by the student to overcome gravity is most nearly

The built in flash in a compact camera is usally capable of giving correct exsposure for distance up to how many meters?