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Cheat Sheet: Exploring Forces

1. Force - Definition & Properties

1.1 Definition

TermDefinition
ForcePush or pull applied to an object resulting from interaction with another object

1.2 Effects of a Force

  • Start or move an object at rest
  • Stop or slow down a moving object
  • Change the speed of a moving object
  • Change the direction of motion
  • Change the shape of an object

1.3 Interaction and Units

TermDefinition
InteractionEvery force involves two interacting objects
Force pairsApplying a force produces a force back on the actor; both disappear when interaction stops
SI unitNewton (N)
One newtonForce that gives 1 kg mass acceleration of 1 m/s²

2. Types of Forces

2.1 Classification

  • Contact forces
  • Non-contact forces

2.2 Contact Forces

TermDefinition
Muscular forceForce applied by action of muscles in humans and animals

2.2.1 Friction

  • Definition: Force opposing motion between surfaces in contact
  • Cause: Arises from tiny irregularities on surfaces
  • Direction: Acts opposite to direction of motion
  • Surface effect: Rougher surfaces produce greater friction
  • Fluid friction: Air and water produce drag or air resistance
  • Streamlining: Reduces fluid friction
  • Contact nature: Acts only when surfaces are in contact

2.3 Non-contact Forces

TermDefinition
Magnetic forceForce exerted by a magnet on magnetic materials or another magnet at a distance
Magnetic polesLike poles repel; unlike poles attract
Electrostatic forceForce exerted by a charged body on another charged or uncharged body
Static chargesElectrical charges produced on surfaces by rubbing certain materials
Charge interactionLike charges repel; unlike charges attract
Electric currentMovement of charges that constitutes an electric current
Gravitational forceForce with which Earth attracts objects towards itself
Gravity propertyAlways attractive and acts between objects with mass
Vertical motion under gravityUpward motion slows then reverses; downward motion accelerates

3. Mass, Weight and Measurement

3.1 Mass versus Weight

TermDefinition
MassAmount of matter in an object
Mass unitGram (g) or kilogram (kg)
Mass propertyRemains the same at all places
WeightForce with which Earth pulls an object
Weight unitNewton (N)
Weight formulaW = m × g with g = 9.8 m/s²
Weight variabilityWeight changes with location if gravitational acceleration changes

3.2 Measuring Weight with a Spring Balance

  • Spring balance: spring fixed at one end with hook at other
  • Reading: pointer indicates force (weight) on scale
  • Scale markings: often in newtons and in grams/kilograms for Earth
  • Range: maximum weight measurable by the balance
  • Least count: smallest difference measurable; equal to difference between two major marks divided by number of divisions
  • Procedure: hang object from hook and read pointer without exceeding range
  • Mass reading note: mass scale assumes Earth's gravitational acceleration

3.3 Variation of Weight on Different Planets (for mass = 1 kg)

PlanetWeight for 1 kg (N)
Earth10
Moon1.6
Mars3.8
Venus9
Jupiter25.4

4. Buoyancy and Archimedes

4.1 Upthrust (Buoyant Force)

TermDefinition
UpthrustUpward force exerted by a liquid on an immersed object

4.2 Floating and Sinking

  • Sinks if weight of object is greater than buoyant force
  • Floats if buoyant force equals weight of object
  • Density of liquid affects buoyant force

4.3 Archimedes' Principle

TermDefinition
Archimedes' PrincipleUpthrust on an immersed object equals weight of liquid displaced by the object
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