Work, Energy & Power
14 topics · 14 interactive simulations
Work by Constant Force
W = Fd cosθ — see the horizontal component pull the block while F is applied at angle θ.
Work–Energy Theorem
W_net = ΔKE — apply a force and watch kinetic energy change exactly by the work done.
Kinetic Energy
KE = ½mv² — see KE scale quadratically with velocity via a live curve and ball.
Gravitational PE (Near Earth)
U = mgh — drop a ball from height h and watch PE convert to KE.
Spring Potential Energy
U = ½kx² — stretch a spring and see the parabolic U–x curve with live reading.
Conservation of Energy
Roller-coaster track — E = PE + KE stays constant; bars show the exchange.
Power Delivered
P = F·v — see instantaneous and average power grow as velocity increases.
Work by Variable Force
W = ∫F dx — see area under F(x) for linear, quadratic, or sinusoidal forces.
Elastic Collision (1D)
Both KE and momentum conserved — live v₁', v₂' from standard formulas.
Inelastic Collision
Balls stick together — momentum conserved, KE lost to heat/deformation.
Coefficient of Restitution
Drop a ball — each bounce loses energy; heights scale as h₀·e^(2n).
Spring-Mass SHM
Visualize simple harmonic motion with a spring-mass system. Watch energy transform between kinetic and potential forms.
Positive vs Negative Work
Switch force angle: 0° → +W, 180° → −W (friction), 90° → 0. See the sign change.
Energy Loss to Friction
Block slides on rough floor — KE drops as heat: see d_stop = v₀²/(2μg).