Objects A and B undergo a one-dimensional elastic collision. The initial speed of A is vAi and the initial speed of B is zero. Equations (8.24) and (8.25) give the final velocity components of the objects after the collision. Let mA = amB, where a is a constant. (a) What is the value of a if the final kinetic energy of B equals the initial kinetic energy of A? (b) What is a if the final kinetic energies of A and B are equal?

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Q: Please answer both 1 and 2 as they relate to eachother. thank you in advance

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Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.