In a location in outer space far from all other objects, anucleus whose mass is 4.019480 × 10−25 kg and that is initially atrest undergoes spontaneous alpha decay. The original nucleusdisappears, and two new particles appear: a He-4 nucleus of mass6.640678 × 10−27 kg (an alpha particle consisting of two protonsand two neutrons) and a new nucleus of mass 3.952926 × 10−25 kg.These new particles move far away from each other, because theyrepel each other electrically (both are positively charged).Because the calculations involve the small difference of(comparatively) large numbers, you need to keep seven significantfigures in your calculations, and you need to use the more accuratevalue for the speed of light, 2.9979246e8 m/s. Choose all particlesas the system. Initial state: Original nucleus, at rest. Finalstate: Alpha particle + new nucleus, far from each other.

Part 1 (a) What is the rest energy of the original nucleus?(Round your answer to seven significant figures.) J the toleranceis +/-2%

Part 2 (b) What is the sum of the rest energies of the alphaparticle and the new nucleus? (Round your answer to sevensignificant figures.) J the tolerance is +/-2%

Part 3 (c) Did the portion of the total energy of the systemcontributed by rest energy increase or decrease? decrease The totalrest energy is unchanged. increase

Part 4 (d) What is the sum of the kinetic energies of the alphaparticle and the new nucleus?