RT Journal Article T1 The bismar scale and elastic collisions: a geometrical analogy A1 Prado, Xabier A1 Paredes Galán, Ángel A1 Area Carracedo, Iván Carlos A1 Domínguez Castiñeiras, José Manuel A1 Mira, Jorge K1 2212.14 Teoría de la Relatividad K1 5899 Otras Especialidades Pedagógicas AB Abstract Throughout history, scales have served as instrumental tools for quantifying the weight of objects, relying on a comparative assessment against a specified reference weight. Scales featuring uneven arms, such as the bismar scale, have proven particularly adept at gauging masses within a specific range relative to a predetermined reference mass. On the other hand, the kinematics of elastic collisions hinge on the inertial masses of the colliding entities. By observing the aftermath of a collision between a known reference mass and an object of unknown mass, one can deduce the latter’s mass. In this contribution, we highlight a fascinating and clear analogy between these two methodologies. We do so by adapting a geometric approach, initially applicable to the bismar scale, to both non-relativistic and relativistic elastic collisions, encompassing phenomena such as Compton scattering. PB European Journal of Physics SN 01430807 YR 2024 FD 2024-05-07 LK http://hdl.handle.net/11093/7164 UL http://hdl.handle.net/11093/7164 LA spa NO European Journal of Physics, 45(3): 035009 (2024) NO Agencia Estatal de Investigacin | Ref. PID2020-113275GB-I00 DS Investigo RD 15-sep-2024