Aproton and an alpha particle are momentarily at rest at adistance r from each other. they then begin to move apart. find the speed of the proton by the time the distance between theproton and the alpha particle doubles. both particles arepositively charged. the charge and the mass of the proton are, respectively, e and m. the e charge and the mass of the alphaparticle are, respectively, 2e and 4m. find the speed of the proton (vf)p by the time the distancebetween the particles doubles. express your answer in terms of some or all of the quantities, e, m, r, and ? 0.which of the following quantities are unknown? a initial separation of the particlesb final separation of the particlesc initial speed of the protond initial speed of the alpha particlee final speed of the protonf final speed of the alpha particleg mass of the protonh mass of the alpha particlei charge of the protonj charge of the alpha particle

The charge on an electron is 1.60218 × 10−19 c and its mass is 9.10939 × 10−31 kg. how strong a magnetic field must be experienced by the electron if its path is a circle of radius 5.5 cm? answer in units of t.

Amass attached to a spring is displaced from its equilibrium position by 5cm and released. the system then oscillates in simple harmonic motion with a period of 1s. if that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case? a mass attached to a spring is displaced from its equilibrium position by and released. the system then oscillates in simple harmonic motion with a period of . if that same mass–spring system is displaced from equilibrium by instead, what will its period be in this case? a) 0.5sb) 2sc) 1sd) 1.4s

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