Question

2. In the lab a meganeutron (1 kg) approaches a megaalpha (4 kg) that's standing still and they elastically scatter (T conserved). The meganeutron is initially moving at 1000 m/s in the +x direction. Nonrelativistic. Use kg, m/s, kg m/s, J lab frame question:s a) what are the initial velocities in the lab frame? b) what are the initial total kinetic energy and momentum in the lab frame? converting to COM frame: c) what's the initial velocity of the center of momentum? d) what are the initial velocities in the center of momentum frame? e) what's the initial kinetic energy in the center of momentum frame? solving in the COM frame f) what's the final velocity of the center of momentum? g) what are the final velocities in the center of momentum frame? Assume the particles scatter straight back. h) what's the final kinetic energy in the center of momentum frame? i) what is the final kinetic energy of the com frame (use Vcom)? j) what is the total final kinetic energy in the com frame plus of the com frame? converting back to the lab frame k) what are the final velocities in the lab frame? 1) what are the final total kinetic energy and total momentum in the lab frame? Compare with j) 3. Repeat 2f through 21 but with a change in direction. In the COM frame the particles scatter back-to-back (in 3 we saw that in the +x and-x directions). Now let's have the neutron scatter to the ty direction (+90 degrees from the x axis) and the alpha particle to the -y direction (-90 degrees from the x axis) in the COM frame. Then you'll have to deal with vectors when converting back to the lab frame. 4. Same as question 2, but they fuse together. Repeat 2f through 21, then add part m: how much KE is converted into the energy to fuse them together? (Ignore Q values or anything else and remember that the energy has to go somewhere.)

PLEASE DO ALL QUESTIONS WITH WORK! T = KINETIC ENERGY

Answer 1