:This seems to refer to the conservation of momentum of the type which occurs for example when a body collides with a stationary body. So that since ''mv''<sub>1i</sub> + 0 = ''mv''<sub>1f</sub> + ''mv''<sub>2f</sub> therefore ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> = ''mv''<sub>2f</sub>. The ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> is the impulse ''J''. So impulse ''J'' is equal to ''mv''<sub>2f</sub>, and bodies that are alike (the condition supposed by Aristotle) have the same ''m'' mass, so that ''J'' x constant (1/''m'') = ''v''<sub>2f</sub>. Therefore the ratio of ''J'' to ''v''<sub>2f</sub> is a constant (which incidentally is none other than ''m''), so ''v''<sub>2f</sub> does increase (move faster) in proportion to impulse ''J'' by the constant ratio (1/''m''). [[User:VargasMilan|VargasMilan]] 16:16, 14 October 2014 (EDT) | :This seems to refer to the conservation of momentum of the type which occurs for example when a body collides with a stationary body. So that since ''mv''<sub>1i</sub> + 0 = ''mv''<sub>1f</sub> + ''mv''<sub>2f</sub> therefore ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> = ''mv''<sub>2f</sub>. The ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> is the impulse ''J''. So impulse ''J'' is equal to ''mv''<sub>2f</sub>, and bodies that are alike (the condition supposed by Aristotle) have the same ''m'' mass, so that ''J'' x constant (1/''m'') = ''v''<sub>2f</sub>. Therefore the ratio of ''J'' to ''v''<sub>2f</sub> is a constant (which incidentally is none other than ''m''), so ''v''<sub>2f</sub> does increase (move faster) in proportion to impulse ''J'' by the constant ratio (1/''m''). [[User:VargasMilan|VargasMilan]] 16:16, 14 October 2014 (EDT) |