Question

Two point masses mu and my with initial velocities vi and vu collide in a fully elastic collision. Calculate the final (after collision) velocities vi and V, of mı and in the lab frame. Enter your responses in terms of some or all of 'm_1' for mı, 'm_2' for m2, 'V_1' for vi, 'V_2" for v2. 력 Vy =

Answer 1

from Mass m, have initial velocity & & final relocity Vi me have final relocity & & final velocity & conservation of momentini m, vit m ₂ mint m, 6, frastic conservation of kinetic energy collision I'm on m = might of my w m , & m 2 + m. v - mint mor milor - v - me vle- vo - (is) Can (7) can be written, m, (v - 2.) -me (vi-2) (ii) Divide (ii) by (in) 1 2 V + Vi = 8 + 2 vi V + V₂ - VI Punting this value in can ) m, it m₂ = m, mo (v + Q - Vg) + m. bal met mo mit was, – mill, tm, u > V. (m, + m2) 2 m, 2, + (m₂-mi) V 2 2, V, t. 2 mi mitme M2-mi N2 mitm, Zimilarly purting the rame Vi= V + V – V2 m, v,+ m₂ = monet + m₂ (v1 + 2, - 2) 22 + m2 , & m, 22 vi(mitm) = (m. m2)V, + (m. tm.) v m, vt m, V2 = m. v + m2 mi Me 2m2 V2 m, fm. t- mam.