Master Summary Table
| Topic | Key Formula | NEET Relevance |
|---|---|---|
| Work | W = Fd cos θ | Calculating work by individual forces |
| Work (variable) | W = ∫F dx = area under F-x graph | F-x graph problems |
| KE | ½ = /(2m) | Speed/momentum comparisons |
| Work-Energy Thm | W_net = E | All force-motion problems |
| Gravitational PE | mgh | Height/speed conversions |
| Spring PE | ½ | Spring problems |
| Power | P = W/t = Fv cos θ | Engine/motor problems |
| 1 hp | 746 W | Unit conversion |
| Mech. E conserved | KE + PE = const | Frictionless problems |
| Vertical circle (string) top | v = √(gR) | Most common VCM question |
| Vertical circle (string) bottom | v = √(5gR) | Energy conservation |
| Vertical circle (rod) top | v = 0 | Conceptual trap |
| Vertical circle (rod) bottom | v = 2√(gR) = √(4gR) | Rod distinction |
| T_b − T_t | 6mg | Verification identity |
| Elastic collision e | e = 1 | Identifies type |
| Equal mass elastic | Velocities exchange | Newton's cradle |
| Perfectly inelastic | Bodies stick; v_f = p_total/m_total | Bullet in block |
| e = 0 | Perfectly inelastic | |
| KE loss (inelastic) | m_{1}m_{2}(u_rel)^{2}/[2(m_{1}+m_{2})] | Maximum loss |
| Equal mass inelastic | 50% KE lost | Specific case |