Convert the following equations from the geometrized units in which they are written to SI units.
(a) The “Planck time” t_P expressed in terms of Newton’s gravitation constant G and Planck’s reduced constant ℏ, tP =√Gℏ. What is the numerical value of t_P in seconds? in meters?
(b) The energy E = 2m obtained from the annihilation of an electron and a positron, each with rest mass m.
(c) The Lorentz force law mdv/dt = e(E + v × B).
(d) The expression p = ℏωn for the momentum p of a photon in terms of its angular frequency ω and direction n of propagation.
How tall are you, in seconds? How old are you, in meters?