Q1. A sling-thrower puts a stone (0.250 kg) in the sling's pouch (0.010 kg) and then begins to make the stone and pouch move in a vertical circle of radius 0.650 m. The cord between the pouch and the person's hand has negligible mass and will break when the tension in the cord is 33.0 N or more. Assume the sling thrower could gradually increase the speed of the stone.

Q2. A solid, non conducting sphere of radius R has a positive charge Q distributed uniformly throughout its volume. As the sphere is non conducting, the charge does not migrate to its surface. (a) What is the volume charge density throughout the sphere? (b) Construct a spherical Gaussian surface of radius r inside the sphere, where r ≤ R. How much charge is contained inside the Gaussian surface? (c) What is the area of the Gaussian surface of radius r? (d) The electric field points radially outward at all points within the sphere (and outside too, for that matter). What is the strength of an electric field at a distance r from the center, inside the sphere?