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# Describe the consequences and applications of relativistic momentum

Classical momentum :

Relativistic momentum =

where m_{o} is the rest mass of the object

- This also shows that mass is relative and depends on the relative velocity of the observer.
- relativistic mass :

- In particle accelerators , where speed of particles cross 0.1c, the predictions made by Newtonian mechanics and Relativistic mechanics are significantly different.
- Relativistic momentum gives a much more accurate prediction in terms of force, energy and other attributes at such large speed.

As velocity increases, the value of increases :

- Thus mass increases with velocity, increasing inertia
- Thus the force required to increase velocity increases with velocity.

- Thus mass increases towards an infinite value
- Interia increases towards an infinite value.
- Thus maximum theoretical speed limit for any object with rest mass (
*m*) > 0 is_{o}*c*.

Extract from *Physics Stage 6 Syllabus © 2017 *NSW Education Standards Authority (NESA)