1989B6. A lithium nucleus, while at rest, decays into a helium nucleus of rest mass 6.6483×10−27 kilogram and a proton of rest mass 1.6726×10−27 kilogram, as shown by the following reaction.
35Li→24He+11H
In this reaction, momentum and total energy are conserved. After the decay, the proton moves with a speed of 1.95×107m/s.
(a) Determine the kinetic energy of the proton.
(b) Determine the speed of the helium nucleus.
(c) Determine the kinetic energy of the helium nucleus.
(d) Determine the mass that is transformed into kinetic energy in this decay.
(e) Determine the rest mass of the lithium nucleus.