Answer to Question #272571 in Mechanics | Relativity for eleven

Question

Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that v_{i, green} = 8.0 m/s,  and m_blue is 15.0% greater than m_green, what are the final speeds of each puck (in m/s), if 1/2  the kinetic energy of the system is converted to internal energy?

Answer 1

$$v_2'=\frac{v_2}{\sqrt{2}}=\frac{8}{\sqrt{2}}=5.66\frac{m}{s}\\ v_1'=\frac{m}{M}\frac{v_2}{\sqrt{2}}=\frac{1}{1.15}\frac{8}{\sqrt{2}}=4.92\frac{m}{s}$$