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
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
| Quantity | Definition | Formula | Type |
|---|---|---|---|
| Speed | How fast something is moving | Speed = distance / time | Scalar (magnitude only) |
| Velocity | Speed with direction | Velocity = displacement / time | Vector (magnitude + direction) |
| Acceleration | Rate of change of velocity | a = (v_final - v_initial) / time | Vector |
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:
| Type | Description | Example |
|---|---|---|
| Static friction | Prevents an object from starting to move | A heavy bed that is hard to start pushing |
| Kinetic friction | Opposes an object already in motion | Resistance 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
| Type | Formula | Description |
|---|---|---|
| Kinetic energy (KE) | KE = 1/2 mv^2 | Energy of motion |
| Potential energy (PE) | PE = mgh | Stored 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:
| Machine | Example | Nursing Application |
|---|---|---|
| Lever | Seesaw, crowbar | Patient positioning devices |
| Inclined plane | Ramp | Wheelchair ramps |
| Pulley | Traction system | Orthopedic traction, hoists |
| Wheel and axle | Doorknob | Wheelchairs, 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
| Type | Description | Example |
|---|---|---|
| Kinetic | Energy of motion | A moving stretcher |
| Potential (gravitational) | Stored energy due to position/height | A raised IV bag |
| Thermal | Heat energy from particle motion | Body heat |
| Chemical | Energy stored in chemical bonds | Food, medication, glucose |
| Electrical | Energy from moving charges | ECG monitors, defibrillators |
| Nuclear | Energy stored in atomic nuclei | Radiation therapy |
| Mechanical | Kinetic + potential energy combined | A working heart pump |
| Sound | Energy carried by sound waves | Ultrasound, stethoscope |
| Radiant (electromagnetic) | Energy carried by EM waves | X-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
| Type | Description | Kinetic Energy | Example |
|---|---|---|---|
| Elastic | Objects bounce apart | Conserved (no loss) | Billiard balls, ideal gas molecules |
| Inelastic | Objects deform or stick together | Not conserved (some lost as heat/sound) | Car crash, clay balls |
| Perfectly inelastic | Objects stick together after collision | Maximum energy lost | Bullet 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
According to Newton's Second Law, what is the force needed to accelerate a 10 kg object at 3 m/s^2?
A nurse pushes a supply cart with a constant force but the cart does not move. How much work is done?
Which of Newton's Laws explains why it is harder to start pushing a heavy bed than to keep it moving?
The SI unit of force is the _____, which equals 1 kg times m/s^2.
Type your answer below
An object is dropped from a height. As it falls, what happens to its kinetic and potential energy?
Match each physics concept to its correct formula.
Match each item on the left with the correct item on the right