Question

in a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. if the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is

Answer 1

The described collision scenario is non-physical as it violates the conservation of kinetic energy in inelastic collisions, which typically have a decrease in total kinetic energy, making it impossible to find the relative velocity post-collision.

Step-by-step explanation:

The scenario describes a physics problem involving a collinear collision where two particles of the same mass collide, with one initially at rest. We are given that after the collision, the total kinetic energy is increased by 50%. This situation is indicative of a perfectly inelastic collision where the two particles stick together post-collision. However, the information given violates the principle of conservation of kinetic energy in inelastic collisions, which states that the total kinetic energy after an inelastic collision is less than before.

Since the kinetic energy is stated to increase in the problem, which is not possible in typical inelastic collisions, it suggests that this collision scenario is non-physical or has external forces at play, making it impossible to determine the magnitude of the relative velocity between the two particles after the collision under normal collision theory.