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Speed
v = d ÷ t; speed of an object. v = speed, d = distance, t = time.
Acceleration
a = (v₂ − v₁) ÷ t; acceleration is the change in velocity over time. v₂ = final velocity, v₁ = initial velocity, t = time.
Distance
d = v × t; distance traveled at a constant speed. v = speed, t = time.
Work
W = F × d; work done when a force moves an object. W = work, F = force, d = distance.
Power
P = W ÷ t; power is work done per unit time. P = power, W = work, t = time.
Density
ρ = m ÷ V; density is mass per unit volume. ρ = density, m = mass, V = volume.
Kinetic Energy (KE)
KE = 1/2 × m × v²; energy of a moving object. m = mass (kg), v = velocity (m/s), KE in joules (J).
Potential Energy (PE)
PE = m × g × h; energy due to height or position. m = mass (kg), g = 9.8 m/s², h = height (m), PE in joules (J).
Total Mechanical Energy (TME)
TME = KE + PE; the total energy of an object is the sum of its kinetic and potential energy.
Centripetal Force (Fc)
Fc = m × v² ÷ r; force that keeps an object moving in a circle, directed toward the center. m = mass, v = speed, r = radius.
Centripetal Acceleration (ac)
ac = v² ÷ r; acceleration of an object moving in a circle, directed toward the center. v = speed, r = radius.
Centrifugal Force
Fc = m × v² ÷ r; apparent force that seems to push an object outward when moving in a circle, opposite to centripetal force. m = mass, v = speed, r = radius.