An astronaut at rest in space has run out of fuel in her jetpack. She realizes that throwing tool from her toolkit in the opposite direction will help propel her back towards the space station. If the astronaut has a mass of 70 kg and she throws a hammer of mass 4 kg at a speed of 3 m/s what will be the approximate resultant velocity that carries her back to the space station?

Intro: a solid ball of radius rb has a uniform charge density ρ. part a: what is the magnitude of the electric field e(r) at a distance r> rb from the center of the ball? express your answer in terms of ρ, rb, r, and ϵ0. part b: what is the magnitude of the electric field e(r) at a distance r express your answer in terms of ρ, rb, r, and ϵ0. part c: let e(r) represent the electric field due to the charged ball throughout all of space. which of the following statements about the electric field are true? check all that apply. e(0) = 0 e(rb)=0 limr→∞e(r)=0 the maximum electric field occurs when r=0 the maximum electric field occurs when r=rb the maximum electric field occurs as r→∞.