Consider a solid sphere, determined by the volume x^2 + y^2 + z^2 ≤ r^2 , with a non-uniform density rho(x, y, z) = a|z|. determine the total mass of the sphere in terms of a and r. b) consider a flat disk of radius r, with an areal mass density given by σ(r, θ) = ar^2 sin^2 (θ), where a is a given constant. describe in words and a simple sketch this mass density. then, determine the total mass of the thin disk in terms of a and r.

What is the radius of the circular path ofa charged particle in a magnetic field?

This problem has been solved! see the answera non-uniform fire escape ladder is 6.0m long whenextended to the icy alley below. it is held at the top by africtionless pivot, and there is neglibible frictional force fromthe icy surface at the bottom. the ladder weighs 250n, and it'scenter of gravity is 2.0m along the ladder from the bottom. amother and child of total weight 750n are on the ladder 1.5m fromthe pivot. the ladder makes an angle θ with the horizontal. find the magnitude and direction ofa) the force exerted by the icy alley on the ladderb) the force exerted by the ladder on the pivotc) do your answers in part a and b depend on the angle?

Asmall, positively charged ball is moved close to a large, positively charged ball. which describes how the small ball likely responds when it is released? it will move toward the large ball because like charges repel. it will move toward the large ball because like charges attract. it will move away from the large ball because like charges repel. it will move away from the large ball because like charges attract.