Scalar and vector quantities
A scalar quantity has magnitude only : size, with a unit
A vector quantity has magnitude and a direction
A vector is drawn as an arrow : the length represents the
magnitude and the direction of the arrow the direction
Scalars
Vectors
speed, distance, mass, time, energy, temperature, density
velocity , displacement , force , weight, acceleration, momentum
A force is a push or pull that acts on an object due to its
interaction with another object . Force is a vector
Contact forces : the objects are physically touching .
Friction , air resistance , tension , normal contact
force
Non-contact forces : the objects are physically separated .
Gravitational , electrostatic , magnetic
Forces come in pairs : when a book rests on a table, the book pushes
down on the table and the table pushes up on the book with a normal
contact force of the same size. Each force acts on a different
object
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Contact forces — a book on a table book centre of mass weight W normal contact force N The book is not moving, so the resultant force on it must be ZERO. So the two forces are EQUAL in size and OPPOSITE in direction — the arrows are drawn the same length. Weight is a NON-CONTACT force: the pull of gravity, acting from the centre of mass. W = m × g g = 9.8 N/kg on Earth The normal contact force is a CONTACT force: the table pushing back, at right angles to the surface. Contact forces: friction, air resistance, tension, normal contact force. Non-contact forces: gravity, magnetism, electrostatic force. Force is a VECTOR — it has size AND direction, which is why it is drawn as an arrow. A book on a table with two force arrows: the weight of the book acting down from its centre, and the normal contact force from the table acting up, equal in length
Speed is a scalar; velocity is the vector version. Distance is a
scalar; displacement is the vector. In a question, say why
they differ in the situation shown: "the runner returns to the start, so
the displacement is zero but the distance is 400 m"
A contact force needs touching: friction, tension, normal contact,
air resistance. Gravity is not a contact force, and do not offer a
force the question has already named
Name the force , not an energy: the force in a string is
tension ; "energy", "momentum" and "speed" are not forces