Beryllium-8 is an unstable isotope and decays into two αparticles, which are helium nuclei with mass 6.68×10−27kg. Thisdecay process releases 1.5×10−14J of energy. For this problem,let's assume that the mass of the Beryllium-8 nucleus is just twicethe mass of an α particle and that all the energy released in thedecay becomes kinetic energy of the α particles.
a) If a Beryllium-8 nucleus is at rest when it decays, what isthe speed of the  α particles after they arereleased?
b) If the Beryllium-8 nucleus is moving in the positivex-direction with a speed of 1.0×106 m/s when it decays, what is thespeed of the slower-moving α particle after it is released? Assumethat the α particles move entirely in the x-direction.
c) If the Beryllium-8 nucleus is moving in the positivex-direction with a speed of 1.0×106 m/s when it decays, what is thespeed of the faster-moving α particle after it isreleased?  Assume that the α particles move entirely inthe x-direction.
