Collisions

Elastic

  • Total Kinetic Energy ($TKE$) of an object in motion is conserved

Inelastic

  • Total Kinetic Energy ($TKE$) of an object in motion is not conserved
    • Some of it is transformed into other types of energy e.g heat, sound and light

Example Questions

  • A bear of $24.2kg$ is travelling east at $6.66m\space s^{-1}$ when it collides with something sticky and disgusting which has mass $8.47kg$ and is travelling west at $7.77m\space s^{-1}$. They coalesce to form a sticky, disgusting bear mass thing (sdbmt).
    • What is the final velocity of the sdbmt?
      • $6.95m s^{-1}$
    • Show by calculation whether the collision was elastic or inelastic. Justify your answer.
      • It is inelastic. To prove, $TKE_{1} \not= TKE_2$
      • $TKE_1=\frac{1}{2}24.2\times 6.66^2=536$
      • $TKE_2=\frac{1}{2}8.47 \times (-7.77)^2$