A hoop with a mass of 2.1 kg and a radius of 0.5 meters rolls (keeping its plane vertical) down an inclined plane descending a vertical distance of 1.0 meters. At the bottom, it rolls onto a horizontal surface. What are its translational and rotational kinetic energies on this surface? Neglect energy losses to friction.

Which of the following is considered to be a vector?               a.  temperature    b.  velocity    c.  time    d.  mass

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.

Which form of cell division creates the sperm and egg, resulting in half of the chromosomes as the other cells?