# A-level Mathematics/OCR/M2

This is the Mechanics 2 module of the OCR A-level Mathematics book. This module assumes that you are familiar with the C1, C2, C3, C4 and M1 modules. Please post all questions to A-level Mathematics/Discussion.

## Formulae

By the end of this module you will be expected to have learnt the following formulae:

### Projectile Motion

• Equation of Trajectory: ${\displaystyle y=x\tan \theta -{\frac {gx^{2}}{2V^{2}\cos ^{2}\theta }}}$

### Work, Energy and Power

• Gravitational Potential Energy (GPE): ${\displaystyle E_{p}=mgh\,}$
• Kinetic Energy (KE): ${\displaystyle E_{k}={\frac {1}{2}}mv^{2}}$
• Work done by a force: ${\displaystyle W=Fd\cos \alpha \,}$
• Power of a moving force: ${\displaystyle P=Fv\,}$

### Collisions

• Newton's Experimental Law: Separation speed ${\displaystyle =e\times }$ Approach speed
• It follows that the coefficient of restitution, ${\displaystyle e={\frac {v_{2}-v_{1}}{u_{1}-u_{2}}}}$

### Centripetal motion

• Using ${\displaystyle F=ma\,}$, and ${\displaystyle a=r\omega ^{2}\,}$ ${\displaystyle ,F=m\omega ^{2}r\,}$
• ${\displaystyle a={\frac {v^{2}}{r}}}$
• ${\displaystyle v=r\omega \,}$