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Elastic collision in one dimension derivation |
Answer» \tElastic Collision:\xa0In the elastic collision total momentum, the total energy and the total kinetic energy are conserved. However, the total mechanical energy is not converted into any other energy form as the forces involved in the short interaction are conserved in nature. Consider from the above graph two masses,\xa0m1\xa0and m2\xa0moving with speed u1\xa0and u2.\xa0The speed after the collision of these masses is\xa0v1\xa0and v2\xa0.\xa0The law of conservation of momentum will give: m1u1\xa0+ m2u2\xa0=\xa0m1v1\xa0+ m2v2\xa0 The conservation of Kinetic Energy says:1/2 m1u21\xa0+ 1/2 m2u22\xa0= 1/2 m1v21\xa0+1/2 m2v22\xa0 | |