01) Equations related to velocity changing motion
WHERE :
v = Final velocity
u = Initial velocity
a = Acceleration
t = Time
S = Displacement
NOTE: Equations relating to motion are used in different situations.
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02) Equations relating to constant velocity motion
S = V t
WHERE :
S = Displacement
V = Constant velocity
t = Time
NOTE: This equation is used when velocity is constant.
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03) Momentum
-->P = m V
WHERE :
-->P = Momentum
m = Mass
V = Velocity
NOTE: When considering momentum, one must also consider magnitude and direction.
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04) Newton's Second Law
F = m a
WHERE :
F = Total Force
m = Mass
a = Acceleration
NOTE: The external compressive force on an object or system is proportional to the rate of change of its momentum.
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05) Impulse
WHERE :
I = Impulse
F = Impulse force
t = Time
m V = Backward momentum
m U = Previous momentum
NOTE: Impulse is equal to momentum change.
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06) Force of friction
F = μ R
WHERE :
F = Force of friction
μ = Coefficient of friction
R = Perpendicular force
NOTE: There are two parts of frictional force, static and dynamic. Always the static friction coefficient is larger than the dynamic friction coefficient.
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07) Volume rate of a fluid
WHERE :
V / t = Volume rate of a fluid
A = Cross sectional area
u = Velocity
NOTE: Moving a liquid or gas (fluid) can create a force. The volume of the fluid is considered here.
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08) Mass rate of a fluid
WHERE :
m / t = Mass rate of a fluid
A = Cross sectional area
u = Velocity
ρ = Density of the fluid
NOTE: Moving a liquid or gas (fluid) can create a force. The Mass of the fluid is considered here.
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09) Principle of momentum conservation
m U = m V
WHERE :
m U = Previous momentum
m V = Backward momentum
NOTE: When there is no external compressive force, there is no change in the momentum of the object. The direction should be considered here.
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10) Work
WHERE :
W = Work
F = Force
S = Displacement
cosθ = Angle
NOTE: If an object can be replaced by a force on it, the relevant force will work. Perpendicular force does not work in the direction of motion.
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11) Kinetic energy
WHERE :
E = Kinetic energy
m = Mass
V = Velocity
NOTE: If an external force acts on the motion of the object, then the work done by the force is equivalent to an increase in the kinetic energy of the object.
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12) Potential energy
E = m g h
WHERE :
E = Potential energy
m = Mass
g = Gravitational acceleration
h = Perpendicular height
NOTE: The potential energy is always measured from a standard position and the potential energy of the standard position is zero.
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13) Relationship between
kinetic energy and momentum
WHERE :
E = Kinetic energy
m = Mass
P = Momentum
NOTE: The relationship between kinetic energy and momentum is derived from the kinetic energy equation and the momentum equation.
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14) Power
WHERE :
P = Power
W = Work
E = Energy
t = Time
F = Force
V = Velocity
NOTE: Rate of work done is Power. Power is obtained by dividing the amount of time it takes to do the work or the energy. ( 1 horsepower = 746 watts )
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15) Efficiency
WHERE :
μ = Efficiency
input = Input
output = Output
NOTE: Input and output can be got any factor, such as work, energy and Power. Here efficiency is taken as a percentage.
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