A child's top is held in place upright on a frictionless surface. The axle has a radius of r=3.46 mm. r=3.46 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T=2.65 NT=2.65 N of constant tension to each string. If it takes 0.590 s0.590 s for the string to unwind, how much angular momentum LL does the top acquire? Assume that the strings do not slip as the tension is applied.

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.

If element x has 99 protons how many electrons does it have

In a hydrogen molecule there are a total of four charges, 2 protons in the two nuclei, and 2 electrons. how many unique charge-pairs are there (without double counting)?