Basic Quantities, Motion & Force โ€” File 1 of 7

Scalars, vectors, displacement, velocity, acceleration, Newton's laws, momentum, pressure ยท 20 terms

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โš–๏ธ Basic Quantities & Linear Motion

Scalar

A quantity that has magnitude only, with no direction.

Like saying a bag weighs 5 kg โ€” just a size, no direction needed.

Vector

A quantity that has both magnitude and direction.

Like giving directions: 5 km north โ€” you need both the amount and where.

Mass (kg (m))

The quantity of matter in a body, regardless of its volume or any forces acting on it.

Mass is how much "stuff" is in something. It never changes no matter where you are โ€” on the moon or on Earth.

Weight (N (W))

The force of gravity acting on a body.

Weight is the pull the Earth has on your mass. The same person weighs less on the Moon because gravity is weaker there.

Weight = mass ร— gravitational field strength (W = mg). Weight is a force, not the same as mass!

Distance (m)

The total path length travelled by an object.

If you walk around a square field and come back, distance = full perimeter walked.

Displacement (m (s))

The distance travelled in a given direction โ€” the straight-line distance from start to finish.

Driving 3 km north then 4 km east โ€” displacement is 5 km northeast (the straight line), but distance is 7 km.

Displacement is a vector. Always state the direction.

Speed (m/s)

The distance travelled per unit time.

Velocity (m/s (v or u))

The rate of change of displacement with respect to time โ€” speed in a stated direction.

A car doing 60 km/h around a corner is at constant speed but changing velocity because direction is changing.

Velocity is a vector. Distinguish it clearly from speed in exams.

Acceleration (m/sยฒ (a))

The rate of change of velocity with respect to time.

A car accelerating from 0 to 60 km/h in 10 s โ€” the change in velocity per second.

Can be negative (deceleration). a = (v-u)/t

๐Ÿ’ช Force & Laws of Motion

Force (N (F))

Anything that causes a body to accelerate โ€” a push or pull that changes the state of rest or motion of an object.

A kick is a force โ€” it changes the motion of a football.

Newton's First Law

A body remains at rest or in uniform motion unless acted upon by an external resultant force.

A book on a table stays still because the forces balance. A puck on ice keeps sliding because there's almost no friction.

Key word: "resultant" force. If forces balance = no acceleration, not necessarily no motion.

Newton's Second Law

The rate of change of momentum of a body is directly proportional to the applied force and takes place in the same direction as the force. (F = ma)

A heavier shopping trolley needs more force to accelerate at the same rate as an empty one.

F = ma. Also expressible as F = ฮ”p/ฮ”t. Both forms may be needed.

Newton's Third Law

For every action there is an equal and opposite reaction.

When you push off a wall, the wall pushes you back equally. Rocket thrust: gases expelled down, rocket goes up.

Forces act on DIFFERENT objects. They don't cancel each other.

Momentum (kg m/s (p))

The product of a body's mass and velocity.

A slow-moving lorry can have more momentum than a fast bicycle because of its huge mass.

p = mv. Momentum is conserved in collisions if no external force acts.

Principle of Conservation of Momentum

In a closed system where no external forces act, the total momentum before a collision equals the total momentum after.

Two ice-skaters pushing off each other: both move apart, but total momentum stays zero.

Always check: is the system closed? State this in your answer.

Friction

The force that opposes relative motion between two surfaces in contact.

Rubbing your hands together โ€” that resistance is friction, which also generates heat.

Weight (N)

The force of gravity acting on a body. W = mg.

๐Ÿ”ฉ Pressure & Density

Density (kg/mยณ (ฯ))

Mass per unit volume.

Lead is dense โ€” lots of mass packed into a small space. Foam has low density โ€” lots of volume, little mass.

ฯ = m/V

Pressure (Pa (p))

Force per unit area.

A stiletto heel exerts far more pressure than a flat shoe โ€” same force, tiny area.

P = F/A. 1 Pa = 1 N/mยฒ

Volume (mยณ (V))

The amount of space that a substance or object occupies.