Physics Formulas Related to Mechanics
Here we are providing physics formulas related to mechanics. All important mechanics formulas are covered in this article. Students are suggested to remember all formulas in order to grasp physics concepts well.
1. Newton’s Second Law: \( F = m \cdot a \)2. Work-Energy Theorem: \( W = \Delta KE = \frac{1}{2} m \cdot (v_f^2 – v_i^2) \)
3. Kinetic Energy: \( KE = \frac{1}{2} m \cdot v^2 \)
4. Potential Energy (Gravitational): \( PE = m \cdot g \cdot h \)
5. Total Mechanical Energy: \( E = KE + PE \)
6. Law of Universal Gravitation: \( F = G \cdot \frac{m_1 \cdot m_2}{r^2} \)
7. Centripetal Force: \( F_c = \frac{mv^2}{r} \)
8. Centripetal Acceleration: \( a_c = \frac{v^2}{r} \)
9. Hooke’s Law (Force in a Spring): \( F = -k \cdot x \)
10. Momentum: \( p = m \cdot v \)
11. Impulse: \( J = F \cdot \Delta t \)
12. Conservation of Momentum: \( \sum p_{\text{initial}} = \sum p_{\text{final}} \)
13. Angular Velocity: \( \omega = \frac{\Delta \theta}{\Delta t} \)
14. Torque: \( \tau = r \cdot F \cdot \sin(\theta) \)
15. Moment of Inertia (Rotational): \( I = \sum m_i \cdot r_i^2 \)
16. Angular Momentum: \( L = I \cdot \omega \)
17. Work done by a Variable Force: \( W = \int_{x_i}^{x_f} F(x) \, dx \)
18. Law of Conservation of Energy: \( E_{\text{initial}} + W_{\text{external}} = E_{\text{final}} \)
19. Law of Conservation of Angular Momentum: \( L_{\text{initial}} = L_{\text{final}} \)
20. Law of Conservation of Linear Momentum: \( p_{\text{initial}} = p_{\text{final}} \)
21. Linear Motion Equations: \( v_f = v_i + a \cdot t \), \( x = v_i \cdot t + \frac{1}{2} \cdot a \cdot t^2 \), \( v_f^2 = v_i^2 + 2 \cdot a \cdot x \), \( x = \frac{v_f + v_i}{2} \cdot t \)
22. Circular Motion Equations: \( \omega = \frac{\theta}{t} \), \( v = \omega \cdot r \), \( a_c = \frac{v^2}{r} \), \( a_c = \omega^2 \cdot r \), \( v = \frac{2 \pi r}{T} \)
23. Newton’s Law of Universal Gravitation (Alternate Form): \( g = \frac{G \cdot M}{R^2} \)
24. Conservation of Angular Momentum (Rotational): \( L_{\text{initial}} = L_{\text{final}} \), \( I_{\text{initial}} \cdot \omega_{\text{initial}} = I_{\text{final}} \cdot \omega_{\text{final}} \)
25. Friction Force (Kinetic Friction): \( f_k = \mu_k \cdot N \)
26. Friction Force (Static Friction): \( f_s \leq \mu_s \cdot N \)
27. Coefficient of Restitution: \( e = \left| \frac{v_{\text{after collision}}}{v_{\text{before collision}}} \right| \)
28. Rotational Kinetic Energy: \( KE_{\text{rot}} = \frac{1}{2} \cdot I \cdot \omega^2 \)
29. Torque (Parallel Forces): \( \tau = F \cdot r \cdot \sin(\theta) \)
30. Torque (Perpendicular Forces): \( \tau = F \cdot r \)
31. Newton’s Law of Gravitation (Escape Velocity): \( v_{\text{escape}} = \sqrt{\frac{2 \cdot G \cdot M}{r}} \)
32. Conservation of Energy in Simple Harmonic Motion: \( KE_{\text{max}} = PE_{\text{max}} \)
33. Period of Simple Harmonic Motion (Pendulum): \( T = 2 \pi \cdot \sqrt{\frac{L}{g}} \)
34. Torque (Work and Power): \( \tau = \frac{dW}{d\theta} \), \( P = \frac{dW}{dt} \)
35. Angular Displacement with Constant Angular Acceleration: \( \theta = \theta_0 + \omega_0 \cdot t + \frac{1}{2} \cdot \alpha \cdot t^2 \)
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