Work, Energy & Power

W = Fd cosθ — see the horizontal component pull the block while F is applied at angle θ.

W_net = ΔKE — apply a force and watch kinetic energy change exactly by the work done.

KE = ½mv² — see KE scale quadratically with velocity via a live curve and ball.

U = mgh — drop a ball from height h and watch PE convert to KE.

U = ½kx² — stretch a spring and see the parabolic U–x curve with live reading.

Roller-coaster track — E = PE + KE stays constant; bars show the exchange.

P = F·v — see instantaneous and average power grow as velocity increases.

W = ∫F dx — see area under F(x) for linear, quadratic, or sinusoidal forces.

Both KE and momentum conserved — live v₁', v₂' from standard formulas.

Balls stick together — momentum conserved, KE lost to heat/deformation.

Drop a ball — each bounce loses energy; heights scale as h₀·e^(2n).

Visualize simple harmonic motion with a spring-mass system. Watch energy transform between kinetic and potential forms.

Switch force angle: 0° → +W, 180° → −W (friction), 90° → 0. See the sign change.

Block slides on rough floor — KE drops as heat: see d_stop = v₀²/(2μg).