Equation of a black hole is: R S ( M ) = 2 G M c 2. Photosynthesis: 6CO2 + 6H2O → C6H12O6 + 6O2. Cellular respiration: C6H12O6 + 6O2 → 6CO2 + 6H2O. Gravity: F = (G * m1 * m2) / d^2. Kinetic energy: K.E. = 1/2 m v2. Pi: C=πd=2πr. Acceleration: a = Δv/Δt. Light: c = 1/(e0m0)1/2 = 2.998 X 108m/s. Work: W = fd Circle: (x - h)2+ (y - k)2 = r2 Square: |(x−h)+(y−k)|+|(x−h)−(y−k)|=r Triangle: A = 1/2 × b × h Sunrise/Sunset Calculations Then the UTC time of sunrise (or sunset) in minutes is: sunrise = 720 - 4*(longitude + ha) - eqtime where longitude and hour angle are in degrees and the equation of time is in minutes moon in psychics: F = GmEarthmMoon/r 2. Wind: P = 0.5 Cp ρ π R2 V3 Heat: Q = m•C•ΔT The total power emitted by the sun is calculated by multiplying the emitted power density by the surface area of the sun. The sun has a radius of 695 x 106 m 4 giving a surface area of 6.07 x 1018 m2. Thus the total power output of the sun is 64 x 10 times 6.09 x 1018 m2, which is equal to 3.9 x 1026 watts. UV: (uv)' = u'v + v'u Sound: ΔP=ΔPmaxsin(kx∓ωt+ϕ) Air: M = M a ( 1 + r ) ( 1 + r ϵ ) . P = ρ R M a T [ 1 1 + ( ϵ − 1 ) e ′ P ] . Potential Energy: P.E. = mgh Mechanical energy is a combination of the energy of motion or position or stated another way, the sum of kinetic and potential energy. This type of energy describes objects that are moving or could move. For example, water rushing downstream has mechanical energy. The kinetic energy of a moving object can be calculated with the equation: Kinetic Energy KE = ½ mv² while potential energy can be calculated as PE = mgh. Gravitational potential energy: PE = kg x 9.8 m/s2 x m = joules. PE = lbs x ft = ft lb. Velocity: v = Δs/Δt. Elastic: KE0 = KEf and po = pf Inelastic collision: v 1 ′ = v 2 ′ = v ′ m 1 v 1 + m 2 v 2 = ( m 1 + m 2 ) v ′ Density: d = M/V, 1 dimensional: v = vx i 2 dimensional: 21.32) ∂ 4 u ∂ x 4 + 2 ∂ 4 u ∂ x 2 ∂ y 2 + ∂ 4 u ∂ y 4 = f ( x , y ) 😕😕😕
