Forces acting at a distance (gravitational, magnetic, electrostatic)
Mass
Measure of the quantity of matter in a body
Weight
Measure of the force exerted by gravity on a body
Mass is constant, weight varies with location (e.g. on Earth vs Moon)
Mass is measured in kilograms, weight is measured in newtons
Balanced forces
Forces that cancel each other out, resulting in no change in movement
Unbalanced forces
Forces that do not cancel each other out, resulting in a change in movement
If forces are unbalanced, the overall force is known as the resultant
Unbalanced forces
20N to the left, 5N to the right
10N up, 5N down
Centre of gravity
The point where the weight of an object is treated as acting
Stability
A body will topple when the vertical line through its centre of gravity falls outside its base
Objects with a high centre of gravity are less stable than those with a low centre of gravity
Moment
The turning effect of a force, calculated as force x perpendicular distance from the pivot
The unit for a moment is the newton metre (Nm) or newton centimetre (Ncm)
Calculating moments
8N force acting 2m from pivot, moment = 8 x 2 = 16Nm
100N force acting 1.5m from pivot, moment = 100 x 1.5 = 150Nm
The principle of moments states that when a body is in equilibrium, the sum of the clockwise moments about any point equals the sum of the anticlockwise moments about the same point
Lever
A device which can turn about a pivot, where an effort force is used to overcome a load force
Levers
Can be used as a force multiplier (effort < load) or a distance multiplier (effort > load)
The moment of the effort force = the moment of the load force
Volume
The amount of space an object occupies, measured in cubic units (cm³, m³, etc.)
Calculating volume
Volume = length x breadth x height
Volume of a liquid measured in ml or cm³ using a measuring cylinder
The volume of an irregularly shaped object can be measured by the displacement method
volume = 89
The Volume of a liquid
Units to measure volume of a liquid
militres (m)
liters
2 cm-1 m
1 litre 2000m-1000 cm
To find the volume of a liquid
1. Pour it into a measuring cylinder
2. Read the scale
Measuring the volume of a liquid
Measure to the bottom of the meniscus (curved surface)
Ensure your eye is level with the bottom of the meniscus
Liquid A volume in ml 22
Liquid C volume in ml 104
Liquid C volume in cm³ 44
Measuring the Volume of Irregularly Shaped Objects by the Displacement Method
1. Partly fill a measuring cylinder with water and note the volume (V1)
2. Lower the object into the water and note the new volume (V2)
3. Calculate V₂-V1
A graph of Mass against Volume for each substance gives a straight line of best fit through the origin
Mass is directly proportional to volume
mass = constant x volume
This constant is the density of the material concerned
If two quantities are directly proportional then whatever one quantity is multiplied by the other quantity is multiplied by the same value