Equation for kinetic energy
Two similar spheres, each of mass m and velocity v are travelling towards each other. The spheres have a head-on collision. What is the total kinetic energy after the impact?

Despite velocity being a vector, kinetic energy is a scalar quantity and therefore will never include a minus sign. This is because in the kinetic energy formula, mass is scalar and the v2 will always give a positive value whether its a negative or positive velocity
Equation for kinetic energy
Two trolleys X and Y are of equal mass. Trolley X moves towards trolley Y which is initially stationary. After the collision, the trolleys join and move off together. Prove that this collision is inelastic.


Although kinetic energy may not always being conserved, remember momentum will always be conserved.
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