: In order to measure the body mass of an astronaut in space, a special chair attached to springs is used. The frequency of the oscillation of the astronaut is measured and from this, the mass is computed. Suppose that the chair has been calibrated as follows: the chair itself has mass of 20kg and an additional 25kg is placed in the chair. The resulting oscillation has period of 1.30 seconds. What is the mass of an astronaut if the period of oscillation is 1.75 seconds

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin. answer in one word. part bfind e(r), the magnitude of the electric field at distance r from the point charge q. express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q. express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r