Cart 1 with mass 10.0 kg travels with a velocity of 5.00 m/s and collides with an identical cart. If the collision between the two carts is elastic what is the kinetic energy of the system after the collision

125 Joules

Explanation:

In an elastic motion, the net kinetic energy of the system is conserved i. e the total kinetic energy of the system after the collision is equal to the total kinetic energy of the system before collision;

Kinetic Energy = 1/2 m*v^2

Total Kinetic energy = Kinetic Energy (Cart 1) + Kinetic energy (Cart 2);

Total K. E = 0.5 * (10) * (5) ^2 + 0 = 125 Joules;

Energy after collision = Energy before collision = 125 joules