Please can you help me witg all the formula in mechanic advance level physics

Here are the key formulas in Mechanics for advanced level physics:

1. Kinematics (Constant Acceleration)

$$v = u + at$$ $$s = ut + \frac{1}{2}at^2$$ $$v^2 = u^2 + 2as$$

2. Dynamics

$$F = ma$$ $$p = mv$$ $$I = \Delta p = F\Delta t$$

3. Work, Energy, Power

$$W = Fd \cos\theta$$ $$E_k = \frac{1}{2}mv^2$$ $$E_p = mgh$$ $$P = \frac{W}{t} = Fv$$

4. Circular Motion

$$\omega = \frac{v}{r} = 2\pi f = \frac{2\pi}{T}$$ $$a_c = \frac{v^2}{r} = r\omega^2$$ $$F_c = \frac{mv^2}{r} = mr\omega^2$$

5. Simple Harmonic Motion (SHM)

$$a = -\omega^2 x$$ $$x = A \cos(\omega t) \quad \text{or} \quad x = A \sin(\omega t)$$ $$v_{max} = A\omega$$ $$T = 2\pi \sqrt{\frac{m}{k}}$$ $$T = 2\pi \sqrt{\frac{L}{g}}$$

6. Gravitation

$$F = \frac{GMm}{r^2}$$ $$g = \frac{GM}{r^2}$$ $$E_p = -\frac{GMm}{r}$$ $$V = -\frac{GM}{r}$$ $$T^2 = \left(\frac{4\pi^2}{GM}\right)r^3$$