Show that two balls of equal mass move
perpendicular to each other after a
two-dimensional elastic collision.
1
Expert's answer
2018-06-20T08:55:07-0400
From the conservation of momentum: p_i=p_f mv_1i=mv_1f+mv_2f v_1i=v_1f+v_2f Then, v_1i∙v_1i=(v_1f+v_2f )∙(v_1f+v_2f ) v_1i^2=v_1f^2+v_2f^2+2v_1f∙v_2f From the conservation of energy: v_1i^2=v_1f^2+v_2f^2 Thus, v_1f∙v_2f=0 Two balls of equal mass move perpendicular to each other after a two-dimensional elastic collision.
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