A circular tree log is blocking the flow of a stream creating a dam on one side. The log is about 30 inches in diameter. A very thin layer of water flows slowly on the top of the log to the downstream side where the depth of water is about 15 inches. If the length of the dam is 15 ft and specific weight of wood is 40 lbf per cubic ft,, determine the a) magnitude and direction of vertical components of the net force on the log, b) magnitude and direction of horizontal components of the net force, c) magnitude of the net horizontal and net vertical force on the log.

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants

Since the energy was not raising the temperature of the water during these segments, what was the energy used to do instead? your answer must include an explanation of what is happening to the molecules.