A projectile weighing 8.56 grams is fired into a soft clay pendulum bob weighing 2.41kg. the projectile impacts the pendulum bob and remains imbedded in it after the collision. Following the impact, the pendulum bob swings to a position placing its center of mass 6.51 cm above its pre-impact position. (no friction or air resistance) 1. what kind of collision does this impact represent?
2. what is the kinetic energy of bob as it reaches its highest point?
3. what is the potential energy of the bob as it reaches its highest point?
4. what was the speed of the projectile as it impacted the bob?
5. what is the speed of the bob as it returns to its starting position prior to impact?

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.

When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)

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