An atomic nucleus at rest at the origin of an xy coordinate system transforms into three particles. Particle l, mass 16.7 x 10-27 kg, moves away from the origin at velocity (6.00 x 106 m/s)i; particle 2, mass 8.35 x 10–27 kg, moves away at velocity (–8.00 x 106 m/s)i.

(a) In unit-vector notation, what is the linear momentum of the third particle, mass 11.7 x 10–27 kg?

(b) How much kinetic energy appears in this transformation?