A physical quantity that has both magnitude and direction
Scalar
A physical quantity that has magnitude only
Resultant vector
The single vector which has the same effect as the original vectors acting together
Distance
The length of path travelled
Displacement
A change in position
Speed
The rate of change of distance
Velocity
The rate of change of position or the rate of displacement
Acceleration
The rate of change of velocity
Weight (Fg)
The gravitational force the Earth exerts on any object on or near its surface (Fg = mg)
Normal force (FN)
The perpendicular force exerted by a surface on an object in contact with it
Frictional force due to a surface (Ff)
The force that opposes the motion of an object
Newton's first law
An object continues in a state of rest or uniform (moving with constant) velocity unless it is acted upon by a net or resultant force
Inertia
The property of an object that causes it to resist a change in its state of rest or uniform motion
Newton's second law
When a net force, Fnet, is applied to an object of mass, m, it accelerates in the direction of the net force. The acceleration, a, is directly proportional to the net force and inversely proportional to the mass
Newton's third law
When object A exerts a force on object B, object B simultaneously exerts an oppositely directed force of equal magnitude on object A
Linear Momentum
The product of the mass and velocity of the object (p = mv)
Newton's second law in terms of momentum
The net force acting on an object is equal to the rate of change of momentum (Fnet = ∆p/∆t)
Law of conservation of linear momentum
The total linear momentum of an isolated system remains constant (is conserved)
Elastic collision
A collision in which both momentum and kinetic energy are conserved
Inelastic collision
A collision in which only momentum is conserved
Impulse (J)
The product of the net force and the contact time (J = Fnet∆t)
Work done on an object by a force
The product of the displacement and the component of the force parallel to the displacement (W = Fs or W = F∆x or W = F∆xcos𝜃)
Gravitational potential energy
The energy an object possesses due to its position relative to a reference point (Ep = mgh)
Kinetic energy
The energy an object has as a result of the object's motion (EK = 1/2 mv2)
Mechanical energy
The sum of gravitational potential and kinetic energy at a point (EM = Ep + EK)
Law of conservation of energy
The total energy in a system cannot be created nor destroyed; only transferred from one form to another
Principle of conservation of mechanical energy
In the absence of air resistance or any external forces, the mechanical energy of an object is constant (Ep + EK)i = (Ep + EK)f
Work-energy theorem
The work done by a net force on an object is equal to the change in the kinetic energy of the object (Wnet = ∆EK)
Power
The rate at which work is done or the rate at which energy is transferred (P = W/t)
One Watt
The power when one joule of work is done in one second
Efficiency
The ratio of output power to input power (% efficiency = powerout/powerin x 100)
Newton's law of universal gravitation
Every particle with mass in the universe attracts every other particle with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres (F = G m1m2/r2)
Weight (Fg)
The gravitational force the Earth exerts on any object on or near its surface
Gravitational field
The force acting per unit mass (g = F/m)
Coulomb's law
Two point charges in free space or air exert forces on each other. The force is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges (F = k q1q2/r2)
Magnitude of electric field at a point
The force per unit positive charge (E = F/q where E and F are vectors)
Potential difference
The work done per unit positive charge (V = W/Q)
Current
The rate of flow of charge (I = q/t)
Ohm's law
Current through a conductor is directly proportional to the potential difference across the conductor at constant temperature
Resistance
A material's opposition to the flow of electric current