What is the formula for average speed?
V = d/t
Where d = distance and t = time.
What is the formula for average velocity?
Ax = V/At
Where Ax = average velocity, V = change in position, and At = elapsed time.
What is the formula for average acceleration?
Av = v/At
Where Av = average acceleration, v = change in velocity, and At = elapsed time.
What is the equation for linear motion kinematics with constant acceleration?
v = Vo + at
Where v = final velocity, Vo = initial velocity, a = acceleration, and t = time.
What is the equation for displacement in linear motion?
x = xo + vot + (1/2)at^2
Where x = final position, xo = initial position, vo = initial velocity, a = acceleration, and t = time.
What is the formula for free fall from rest?
v = √(2gh)
Where v = final velocity, g = acceleration due to gravity, and h = height.
In vector components, what is the formula for horizontal component?
Vx = V * cos(θ)
Where V = magnitude of the vector and θ = angle with the x-axis.
In vector components, what is the formula for vertical component?
Vy = V * sin(θ)
Where V = magnitude of the vector and θ = angle with the x-axis.
In vector components, what is the formula for tangent?
tan(θ) = Vy/Vx
This relates the vertical and horizontal components of a vector.
What is Newton’s first law of motion?
At equilibrium, every body continues in its state of rest or uniform speed as long as no net force and no net torque act on it
EF = 0; Tclockwise = counterclockwise.
What does Newton’s second law of motion state?
F = ma
The acceleration a of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
What is the relationship between force and acceleration according to Newton’s second law?
The direction of the acceleration is in the direction of the net force acting on the object
F = ma.
What does Newton’s third law of motion state?
Whenever one object exerts a force on a second object, the second exerts an equal and opposite force on the first
This is often summarized as ‘for every action, there is an equal and opposite reaction.’
What is the formula for the force of static friction?
Fir ≤ HSFN
Where us is the coefficient of static friction and Fn is the magnitude of the normal force.
What is the force of kinetic friction?
The force between two surfaces sliding against one another that opposes the relative motion of the two surfaces
Where uk is the coefficient of kinetic friction.
What is the formula for the force of gravity between two objects?
FG = G(m1m2/r²)
G = 6.67 × 10^-11 N-m²/kg² is the universal gravitation constant.
What is the formula for the force on an inclined plane?
Fincline = mg sin(θ)
Formal = mg cos(θ).
What is Hooke’s Law?
F = -kAx
The further a spring is stretched, the more force it pulls back with.
What is the formula for torque?
T = FL = Fr sin(θ)
Torque is proportional to the force applied and the lever arm length.
What is the definition of centre of mass (CM)?
Xcm = (m1x1 + m2x2 + …)/(m1 + m2 + …)
The centre of mass represents the average location for the total mass of the system.
What is Newton’s first law of motion?
At equilibrium, every body continues in its state of rest or uniform speed as long as no net force and no net torque act on it
EF = 0; Tclockwise = counterclockwise.
What does Newton’s second law of motion state?
F = ma
The acceleration a of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
What is the relationship between force and acceleration according to Newton’s second law?
The direction of the acceleration is in the direction of the net force acting on the object
F = ma.
What does Newton’s third law of motion state?
Whenever one object exerts a force on a second object, the second exerts an equal and opposite force on the first
This is often summarized as ‘for every action, there is an equal and opposite reaction.’