Key Takeaways

  • Speed is distance/time (scalar); velocity is displacement/time with direction (vector); acceleration is change in velocity/time
  • Newton's First Law (Inertia): An object at rest stays at rest, and an object in motion stays in motion, unless acted upon by an external force
  • Newton's Second Law: Force = mass x acceleration (F = ma); the SI unit of force is the Newton (N)
  • Newton's Third Law: For every action, there is an equal and opposite reaction
  • Friction opposes motion and comes in two forms: static (prevents starting motion) and kinetic (opposes ongoing motion)
  • Gravity accelerates all objects at approximately 9.8 m/s^2 near Earth's surface, regardless of mass (in a vacuum)
  • Work = Force x Distance (W = Fd); measured in Joules (J); no work is done if there is no displacement
  • Energy exists as kinetic (motion: KE = 1/2 mv^2) or potential (stored: PE = mgh); total energy is conserved in a closed system
Last updated: February 2026

Motion, Forces & Energy

Physics explains how the physical world works. For nursing, physics concepts apply to patient lifting and mobility, blood flow dynamics, ventilator mechanics, and radiation therapy.


Motion

Speed vs. Velocity vs. Acceleration

QuantityDefinitionFormulaType
SpeedHow fast something is movingSpeed = distance / timeScalar (magnitude only)
VelocitySpeed with directionVelocity = displacement / timeVector (magnitude + direction)
AccelerationRate of change of velocitya = (v_final - v_initial) / timeVector

Example: A car travels 100 km in 2 hours.

  • Speed = 100 km / 2 h = 50 km/h

Example: A car accelerates from 0 to 60 m/s in 10 seconds.

  • Acceleration = (60 - 0) / 10 = 6 m/s^2

Newton's Laws of Motion

First Law: Law of Inertia

"An object at rest stays at rest, and an object in motion stays in motion at constant velocity, unless acted upon by a net external force."

  • Inertia is the tendency of an object to resist changes in its state of motion
  • The more massive an object, the greater its inertia
  • Nursing application: A patient on a stretcher continues to move forward when the stretcher stops suddenly

Second Law: F = ma

"The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass."

  • F = ma (Force = mass x acceleration)
  • SI unit of force: Newton (N) = 1 kg x m/s^2
  • More force → more acceleration; more mass → less acceleration for the same force
  • Example: What force is needed to accelerate a 50 kg patient in a wheelchair at 2 m/s^2?
    • F = 50 kg x 2 m/s^2 = 100 N

Third Law: Action-Reaction

"For every action, there is an equal and opposite reaction."

  • When you push on a wall, the wall pushes back on you with equal force
  • When walking, your foot pushes backward on the ground; the ground pushes your foot forward
  • Nursing application: When performing CPR, your hands push down on the chest (action), and the chest pushes back against your hands (reaction)

Friction

Friction is a force that opposes motion between two surfaces in contact:

TypeDescriptionExample
Static frictionPrevents an object from starting to moveA heavy bed that is hard to start pushing
Kinetic frictionOpposes an object already in motionResistance felt while sliding a bed across the floor

Static friction is always greater than kinetic friction — it takes more force to start moving an object than to keep it moving.


Gravity

  • Gravitational acceleration near Earth's surface: g = 9.8 m/s^2
  • All objects fall at the same rate in a vacuum (regardless of mass)
  • Weight = mass x gravity (W = mg)
    • A 70 kg person weighs: W = 70 x 9.8 = 686 N

Work, Energy & Power

Work

Work = Force x Distance (W = Fd)

  • Measured in Joules (J)
  • Work is only done when the force causes displacement in the direction of the force
  • If you push against a wall and it doesn't move: no work is done (displacement = 0)

Example: A nurse lifts a 20 kg box 1.5 meters. How much work is done?

  • Force = mg = 20 x 9.8 = 196 N
  • Work = 196 N x 1.5 m = 294 J

Energy

TypeFormulaDescription
Kinetic energy (KE)KE = 1/2 mv^2Energy of motion
Potential energy (PE)PE = mghStored energy due to position (height)
  • Law of Conservation of Energy: Energy cannot be created or destroyed, only transformed from one form to another
  • As an object falls: PE decreases → KE increases (total energy remains constant)

Power

Power = Work / Time (P = W/t)

  • Measured in Watts (W) = Joules per second
  • Power measures how quickly work is done

Example: If 294 J of work is done in 3 seconds:

  • Power = 294 / 3 = 98 W

Simple Machines

Simple machines make work easier by changing the direction or magnitude of force:

MachineExampleNursing Application
LeverSeesaw, crowbarPatient positioning devices
Inclined planeRampWheelchair ramps
PulleyTraction systemOrthopedic traction, hoists
Wheel and axleDoorknobWheelchairs, stretchers

Mechanical advantage = Output force / Input force (always ≥ 1 for simple machines)


Momentum

Momentum = Mass x Velocity (p = mv)

  • Measured in kg·m/s
  • Greater mass OR greater velocity = greater momentum
  • Conservation of Momentum: In a closed system, total momentum before a collision equals total momentum after

Nursing application: Understanding momentum helps explain impact injuries — a heavier, faster-moving object causes greater injury on impact.


Types of Energy

TypeDescriptionExample
KineticEnergy of motionA moving stretcher
Potential (gravitational)Stored energy due to position/heightA raised IV bag
ThermalHeat energy from particle motionBody heat
ChemicalEnergy stored in chemical bondsFood, medication, glucose
ElectricalEnergy from moving chargesECG monitors, defibrillators
NuclearEnergy stored in atomic nucleiRadiation therapy
MechanicalKinetic + potential energy combinedA working heart pump
SoundEnergy carried by sound wavesUltrasound, stethoscope
Radiant (electromagnetic)Energy carried by EM wavesX-rays, visible light

Energy Transformations in the Body:

  • Chemical energy (food) → thermal energy (body heat) + mechanical energy (movement)
  • Chemical energy (ATP) → electrical energy (nerve impulses)
  • Chemical energy (glucose) → kinetic energy (muscle contraction) + thermal energy (heat)

Elastic vs. Inelastic Collisions

TypeDescriptionKinetic EnergyExample
ElasticObjects bounce apartConserved (no loss)Billiard balls, ideal gas molecules
InelasticObjects deform or stick togetherNot conserved (some lost as heat/sound)Car crash, clay balls
Perfectly inelasticObjects stick together after collisionMaximum energy lostBullet embedding in a target

Nursing relevance: Understanding collision types helps explain impact injuries and protective equipment design (helmets, airbags extend impact time to reduce force).


Center of Gravity and Stability

Center of gravity (COG) is the point where all weight is concentrated:

  • Lower center of gravity → more stable
  • Wider base of support → more stable

Nursing applications:

  • Patient fall prevention: Patients with high center of gravity (tall, top-heavy) are at greater fall risk
  • Body mechanics: When lifting patients, nurses should widen their stance (base of support) and bend at the knees to lower their COG
  • Wheelchair safety: Locking wheels and positioning footrests prevents tipping
  • Crutch walking: A tripod stance provides the widest base of support
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Newton's Three Laws of Motion
Test Your Knowledge

According to Newton's Second Law, what is the force needed to accelerate a 10 kg object at 3 m/s^2?

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Test Your Knowledge

A nurse pushes a supply cart with a constant force but the cart does not move. How much work is done?

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Test Your Knowledge

Which of Newton's Laws explains why it is harder to start pushing a heavy bed than to keep it moving?

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Test Your KnowledgeFill in the Blank

The SI unit of force is the _____, which equals 1 kg times m/s^2.

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Test Your Knowledge

An object is dropped from a height. As it falls, what happens to its kinetic and potential energy?

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Test Your KnowledgeMatching

Match each physics concept to its correct formula.

Match each item on the left with the correct item on the right

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Force
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Work
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Kinetic energy
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Potential energy
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Power