Aspherically symmetric charge distribution has a charge density given by rho = a/r , where a is constant. find the electric field as a function of r. (suggestion: the charge within a sphere of radius r is equal to the integral of rho dv, where r extends from 0 to r. to evaluate the integral, note that the volume element dv for a spherical shell of radius r and thickness dr is equal to 4πr2dr.) (use epsilon_0 for ε0, a, r, and r as necessary.)

3. a worker pushes a 30.5 kg polished stone along a polished table with a force on bonin a straight line for 5.20 s after starting from rest. there is no friction between thestone and the table. at the end of the table. the stone is hooked to a cable with a lengthof 62.0 cm to rotate it to a rough table to store until they can be picked up. the roughtable has a coefficient of static friction 0.702 with the polished stone. remember that 8= 9.80 m/s2a) what is the speed of the stone when it is hooked to the cable? b) what is the tension in the cable while the stone is rotating? (there is still nofriction)c) how much force is needed to make the stone begin sliding from rest on therough table? ius = 0.70262.0 cm30.5 kg20.5 kg6= 0