Two carts on an air track move towards each other with velocities v; and v2i. The...

 

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Two carts on an air track move towards each other with velocities v; and v2i. The carts collide and their velocities vif and v2 are recorded. The table provides data about the collisions including the initial velocities of the carts before the collisions, the final velocities after the collision, and the masses of the carts: Before collision Cart 1 m/(kg) VI (m/s) 0.1 +2.0 0.1 +2.0 0.1 +2.0 Cart 2 m(kg) 0.1 0.1 0.3 V2i (m/s) 0 -2.0 -2.0 Cart 1 m/(kg) 0.1 0.1 0.1 After collision VI (m/s) +1.0 -1.0 -4.0 Cart 2 m(kg) 0.1 0.1 0.3 Vzi (m/s) +1.0 +1.0 0.0 1. Determine if the momentum is conserved in these collisions. Is the kinetic energy conserved? 2. Assuming that the uncertainties on the masses and velocities are 8m = 0.001 kg and 8v = 0.01 m/s, calculate the uncertainty in the momentum and kinetic energy for the first trial (first row). Two carts on an air track move towards each other with velocities v; and v2i. The carts collide and their velocities vif and v2 are recorded. The table provides data about the collisions including the initial velocities of the carts before the collisions, the final velocities after the collision, and the masses of the carts: Before collision Cart 1 m/(kg) VI (m/s) 0.1 +2.0 0.1 +2.0 0.1 +2.0 Cart 2 m(kg) 0.1 0.1 0.3 V2i (m/s) 0 -2.0 -2.0 Cart 1 m/(kg) 0.1 0.1 0.1 After collision VI (m/s) +1.0 -1.0 -4.0 Cart 2 m(kg) 0.1 0.1 0.3 Vzi (m/s) +1.0 +1.0 0.0 1. Determine if the momentum is conserved in these collisions. Is the kinetic energy conserved? 2. Assuming that the uncertainties on the masses and velocities are 8m = 0.001 kg and 8v = 0.01 m/s, calculate the uncertainty in the momentum and kinetic energy for the first trial (first row).