Power — AP Physics 1 Explorer

W = F·d

P = W/t = Fd/t = Fv

W = F·d — work (joules)
P — power (watts, W)
v — velocity (m/s)
1 W = 1 J/s = 1 N·m/s

Work

— J

W = F × d

Power

— W

P = F × v

0— W max

F · applied force50 N

v · speed5.0 m/s

d = v × t — m

t · elapsed time3.0 s

θ · ramp angle30°

d = v × t— m

W = F × d— J

P = W / t— W

P = F × v— W

double v effect

P at 2v— W (×2)

P at ½t (same W)— W (×2)

same work, half the time = ×2 power
double speed = ×2 power
1 horsepower ≈ 746 W

P = W/t: work is force × distance. Power is how fast that work is done. Drag F, v, and t to see how each affects power.