Three carts of masses 4.0 kg, 10 kg, and 3.0 kg move on africtionless horizontal

Question

Three carts of masses 4.0 kg, 10 kg, and 3.0 kg move on africtionless horizontal track with speds of 5.0 m/s, 3.0 m/s and4.0 m/s. The carts stick together after colliding. a) Find the final velocity of the three carts. b)Does your answer require that all carts collide and sticktogether at the same time? Thank you! Three carts of masses 4.0 kg, 10 kg, and 3.0 kg move on africtionless horizontal track with speds of 5.0 m/s, 3.0 m/s and4.0 m/s. The carts stick together after colliding. a) Find the final velocity of the three carts. b)Does your answer require that all carts collide and sticktogether at the same time? Thank you!

Explanation / Answer

Total momentum before collision = m v + m' v ' + m " v"                                                  = ( 4 * 5 ) + ( 10 * 3 ) + ( 3 * 4 )                                                  = 62 kg m / s Total final momentum = ( m + m ' + m" ) V                                  = 17 V from law of conservation of momentum , 17 V = 62 from this final velocity V = 3.647 m / s

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