Work Done By A Variable Force — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Work Done by a Variable Force General Physics, Mechanics, Thermodynamics (P-V diagrams) Define differential work dW done by force F over infinitesimal displacement dx as dW = F(x)dx. Sum all differential work elements from initial position x i to final position x f. Take the limit as dx approaches zero to form the definite integral. Force and displacement must be along the same line of action (or F is the component along x). The system is inertial. Work is a vector quantity (it is a scalar). Work depends on time (it depends on displacement, Power depends on time). Variable force work can be calculated using F d with the initial or final force (must use integration or average force).