Podcast
Questions and Answers
Match the following terms with their correct definitions relating to motion:
Match the following terms with their correct definitions relating to motion:
Displacement = Change in the position of an object; a vector quantity. Velocity = The rate of change of position with direction; a vector quantity. Acceleration = The rate at which velocity changes with time. Speed = The rate of change of an object's movement.
Match the following concepts with their appropriate mathematical representations:
Match the following concepts with their appropriate mathematical representations:
Average Acceleration = $a_{avg} = \frac{v_f - v_i}{t_f - t_i}$ Displacement = $\Delta x = x_f - x_i$ Instantaneous Acceleration = $a = \frac{dv}{dt}$ Distance = Magnitude between two interval points
Match the measurement units to the quantities they represent.
Match the measurement units to the quantities they represent.
Displacement = meters Velocity = meters per second Acceleration = meters per second squared Force = Newtons
Match the concepts with the descriptions that best characterize them:
Match the concepts with the descriptions that best characterize them:
Relate the following scenarios to the concept that is best illustrated:
Relate the following scenarios to the concept that is best illustrated:
Match the type of quantity with an example:
Match the type of quantity with an example:
Match the description with the term:
Match the description with the term:
Match the quantity with its unit measured:
Match the quantity with its unit measured:
Match each law or concept to its correct description:
Match each law or concept to its correct description:
Match each type of force with its defining characteristic:
Match each type of force with its defining characteristic:
Relate the effect of force on objects with different masses.
Relate the effect of force on objects with different masses.
Match the examples to illustrate the concept of Net Force
Match the examples to illustrate the concept of Net Force
Match the description of a scenario to the physical law it exemplifies:
Match the description of a scenario to the physical law it exemplifies:
Match the units to the quantities they measure:
Match the units to the quantities they measure:
Match each scenario involving microtubules to its corresponding force or effect:
Match each scenario involving microtubules to its corresponding force or effect:
Match the correct relationships according to Newton's Second Law
Match the correct relationships according to Newton's Second Law
Match each concept with its correct description:
Match each concept with its correct description:
Match the formula element to what it represents in the Elastic Deformation equation:
Match the formula element to what it represents in the Elastic Deformation equation:
Match the property of a stretched copper wire with its description:
Match the property of a stretched copper wire with its description:
Match the following terms related to force with their definitions:
Match the following terms related to force with their definitions:
Match the material type to its relevance in biological systems:
Match the material type to its relevance in biological systems:
Match each concept related to forces with the correct description:
Match each concept related to forces with the correct description:
Match the variables in Young's modulus equation with their units of measurement.
Match the variables in Young's modulus equation with their units of measurement.
Associate the description with the corresponding law or material property.
Associate the description with the corresponding law or material property.
Match the following terms with their definitions:
Match the following terms with their definitions:
Match the quantities with their formulas:
Match the quantities with their formulas:
Match the following activities with the concept they primarily demonstrate:
Match the following activities with the concept they primarily demonstrate:
Match each situation with the physical quantity that remains constant (conserved), assuming no external forces or torques are present:
Match each situation with the physical quantity that remains constant (conserved), assuming no external forces or torques are present:
Match each real-world scenario to the physics concept it exemplifies:
Match each real-world scenario to the physics concept it exemplifies:
Match the following terms with their qualitative description:
Match the following terms with their qualitative description:
Match the concepts to their effect in real-world scenarios:
Match the concepts to their effect in real-world scenarios:
Match the terms related to rotational motion with their correct descriptions:
Match the terms related to rotational motion with their correct descriptions:
Associate each scenario with the physical principle that best explains it:
Associate each scenario with the physical principle that best explains it:
Match the variables in the centripetal force equation with their definitions:
Match the variables in the centripetal force equation with their definitions:
Match the following applications with the physical principle they utilize:
Match the following applications with the physical principle they utilize:
Match the descriptions with the appropriate quantity related to circular motion:
Match the descriptions with the appropriate quantity related to circular motion:
Associate equation elements with their full expression:
Associate equation elements with their full expression:
Match the description with the force it describes:
Match the description with the force it describes:
Relate the magnitude of the force to it's impact
Relate the magnitude of the force to it's impact
Match each of the following scenarios with the type of force that is primarily involved:
Match each of the following scenarios with the type of force that is primarily involved:
Match the descriptions of the states of matter to their plasma-related characteristics:
Match the descriptions of the states of matter to their plasma-related characteristics:
Match each quantity with its corresponding SI unit:
Match each quantity with its corresponding SI unit:
Match the scenarios to the types of potential energy involved:
Match the scenarios to the types of potential energy involved:
Match each wave phenomenon with its correct description:
Match each wave phenomenon with its correct description:
Match the term related to motion with its definition:
Match the term related to motion with its definition:
Match the terms related to electricity with their definitions:
Match the terms related to electricity with their definitions:
Match each process with its description relating to heat transfer:
Match each process with its description relating to heat transfer:
Flashcards
Position
Position
Location of an object relative to a reference point.
Distance
Distance
Magnitude between two points (scalar).
Displacement
Displacement
Change in position of an object (vector).
Speed
Speed
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Velocity
Velocity
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Acceleration
Acceleration
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Average Acceleration
Average Acceleration
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Force
Force
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Contact Force
Contact Force
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Action-at-a-Distance Force
Action-at-a-Distance Force
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Mass
Mass
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Newton's First Law
Newton's First Law
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Net Force
Net Force
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Newton's Second Law
Newton's Second Law
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Microtubules
Microtubules
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Chromosome Acceleration
Chromosome Acceleration
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Newton's Third Law
Newton's Third Law
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Newton's Third Law (Formal)
Newton's Third Law (Formal)
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Elastic Deformation
Elastic Deformation
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Wire Stretch Factors
Wire Stretch Factors
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Applied Stress
Applied Stress
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Young's Modulus (Y)
Young's Modulus (Y)
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Strain
Strain
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Tensile Stress
Tensile Stress
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Power
Power
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Power Equation
Power Equation
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Momentum Unit
Momentum Unit
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Momentum
Momentum
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Translation
Translation
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Rotation
Rotation
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Average Angular Velocity
Average Angular Velocity
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Torque
Torque
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Lever Arm (r)
Lever Arm (r)
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Angle Φ in Torque
Angle Φ in Torque
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Centripetal Force
Centripetal Force
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Centripetal Acceleration (ac)
Centripetal Acceleration (ac)
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Centrifugal Force
Centrifugal Force
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Centripetal Technique Principle
Centripetal Technique Principle
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Magnitude of Torque (τ)
Magnitude of Torque (τ)
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What is Acceleration?
What is Acceleration?
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What is Force?
What is Force?
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What is Position?
What is Position?
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What is Distance?
What is Distance?
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What is Displacement?
What is Displacement?
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What is Speed?
What is Speed?
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What is Velocity?
What is Velocity?
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What is Average Acceleration?
What is Average Acceleration?
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Study Notes
- This lecture covers basic concepts in mechanics and their medical applications.
- Assoc. Prof. Mai Hong Hanh presented this lecture in 2023.
Outline
- Position, speed, velocity, and acceleration are very important concepts.
- Newton's laws and applications are very important concepts.
- Work, energy, and momentum are important concepts.
- Rotation motion is an important topic for specialists.
Position
- To locate an object, it is necessary to find its position in relation to some reference points.
Distance and Displacement
- Distance: the magnitude between two interval points, but not a vector quantity.
- Vector Properties: size or magnitude, and direction.
- Displacement: the change in the position of an object, and a vector quantity.
- Displacement Formula: ∆x = xf - xi
- ∆x : Displacement
- xf : Final position (B)
- xi: Initial position (A)
Speed and Velocity
- Velocity is the vector quantity: signifies the magnitude of the rate of change of position and the direction of an object's movement
- Speed is the scalar quantity: signifies only the magnitude of the rate of change of an object's movement.
- Units for Speed/Velocity: m/s
Acceleration
- An object is said to undergo acceleration when its velocity and/or direction changes.
- For motion along an axis, the average acceleration aavg over a time interval Δt is: aavg = (vf - vi)/(tf - ti) = Δv/Δt
- The instantaneous acceleration (or simply acceleration) is: a = dv/dt
- Units for Acceleration: m/s²
Force & Mass
- Force: what is said to act on the object to change its velocity.
- Force is a push or a pull.
- Arrows represent forces; the length of the arrow is proportional to the magnitude of the force.
- Contact forces arise from physical contact.
- Action-at-a-distance forces: do not require contact, which includes gravity and electrical forces.
- Mass: a measure of the amount of "stuff" contained in an object.
- Mass is the characteristic feature that relates a force on the body to the resulting acceleration.
Force Types
- Applied force: The force that results from two objects actively pushing against each other.
- Spring force: The force that results from a compressed or stretched spring.
- Drag force: An opposing force acting to decelerate an object moving through a liquid or gas.
- Magnetic force: Attractive or repulsive force between two magnets.
- Electric force: Attractive or repulsive force between two objects with an electric charge.
- Frictional force: A resistive force that opposes the motion or attempted motion of an object.
- Gravitational force: The force of attraction between two objects based on mass.
- Normal force: A contact force that is exerted perpendicular to the surface of an object.
Gravity
- Gravity is the force that attracts objects toward each other.
Newton's First Law
- An object continues in a state of rest or in a state of motion at a constant speed along a straight line, unless compelled to change that state by a net force: Fnet = 0
- The net force is the vector sum of all the forces acting on an object.
Newton's Second Law
- The net force on a body is equal to the product of the body's mass and its acceleration. Fnet = mả
- Unit is Newton (N).
Newton's Third Law
- Whenever one body exerts a force on a second body, the second body exerts an oppositely directed force of equal magnitude on the first body.
- Formula in scalar form: FAB = FBA
- Formula in vector form: FAB = -FBA
- Propulsion is an application of Newton's Third Law.
Problem 1 Biomedical Example
- Microtubules, assembled from protein molecules, help cells maintain their shape and are responsible for various kinds of movements: pulling apart chromosomes during cell division.
- Measurements show that microtubules can exert forces from a few pN (1pN=10-12 N) up to hundreds of nN (1 nN=10-9 N)
- Example: A bacterial chromosome has a mass of 2.00×10-17 kg. If a microtubule applies a force of 1.00 pN, the chromosome's acceleration is 5.00 × 104 N/kg.
- This acceleration is about 5000 times g which is the acceleration due to gravity!
Forces on Solids and Their Elastic Response
- Amount a copper wire stretches when a force is applied to its ends is: proportional to the applied force and the original length, also inversely proportional to the cross-sectional area.
- When the added weight is removed, the wire returns to original length. This is elastic deformation.
- Formula: F/A = Y (∆L /L)
- F is the applied force.
- A is the cross-sectional area.
- L is the original length, and ΔL is the stretch.
- The constant of proportionality, Y, is Young's modulus
- F/A, is known as the applied stress.
- Ratio of ∆L /L is the resulting strain produced.
- Biology applications: structural solids with properties that are fundamental to life.
Work (W)
- Describes what happens when a force is exerted on an object as it moves.
- Defined as "Work Done by a Constant Force."
- Work done by a force in the direction of displacement: W = Fd
- W: work done on an object
- F: magnitude of the constant force
- d: magnitude of the displacement
- Unit: Joule (J)
- 1 J=1 N×1 m or 1 J=1 N·m
- Formula: W = (Fcosθ)d
- θ: angle between the direction of F and d
Kinetic Energy (K)
- The energy associated with the state of motion of an object.
- Kinetic energy is directly proportional to the mass of the object and the square of its velocity.
- Formula: K = (1/2)mv²
- The faster the object moves, the greater the kinetic energy. Unit: Joule (J) equals 1 kg-m²/s²
- When the object is stationary, its kinetic energy is zero.
- The kinetic energy is known as a scalar quantity.
- Work-energy theorem: an object undergoes displacement, the work done by the net force equals the object's kinetic energy at the end of the displacement minus its kinetic energy at the beginning of the displacement.
- Equation form: Wnet = (1/2)mvf² - (1/2)mvf²; Wnet = Kf - Ki
Potential Energy (U)
- Stationary object also known as: The ability to do work.
- Energy is related to an object's position.
- Unit: Joule (J).
- Gravitational Potential Energy (U): U = W = mgh
- Spring constant : U = (1/2) kx²
Law of Conservation of Energy
- Principle of conservation of mechanical energy: In an isolated system where only conservative forces cause energy changes, the kinetic energy and potential energy can change, but their sum, the mechanical energy Emec of the system, cannot change.
- Equation: Emec = Ui + Ki = Uf + Kf Kinetic and potential energy in the arteries: sum of kinetic energy and potential energy-a sum that we call the total mechanical energy-keeps the same value and is conserved.
- When you feel the pulse in your radial artery, feeling spring potential energy of the arterial walls being converted to kinetic energy of the blood.
Power (P)
- The rate at which energy is transferred from one place to another, or from one form to another.
- The quantity P in the equation is sometimes called the power delivered to the object on which work is being done.
- Formula: P = W/t
- Unit: 1 W = 1 Joule/second = 1 J/s.
- Other common units of power are the kilowatt (1 kW = 1000 W) and the horsepower (1 hp = 746 W which is a typical rate at which a horse does work by pulling on a plow)
Momentum
- Object's property related to its mass and velocity.
- Depends on both the mass and velocity of the object.
- The momentum of an object is a vector that points in the same direction as its velocity.
- Unit: kg.m/s
- Formula: p = mủ Law of Momentum Conservation: the total momentum always remains constant.
Rotational Motion
- Translation: an object as whole moves through space.
- Rotation: an object spins around an axis.
- By analogy to how we defined average velocity for straight-line motion we define the average angular velocity of the blade is: ωaverage,z = ΔΘ / Δt w = Gamma(ω)
- Speed of a point on a rotating rigid object: v = γω
- Units of rotation: rad/s
Torque
- The rotational equivalent of linear force.
- Represented by the moment, the moment of force, the rotational force, or the turning effect."
- It represents the capability of a force to produce change in the rotational motion of the body. Torque is a vector quantity. Units : N.m.
- Formula: τ = rFsinφ
- τ : magnitude of the torque
- r: position vector (lever arm vector)
- Φ:the angle between the force F and the lever arm vector
- A force or system of forces that tends to cause rotation.
Centripetal Force
- Component of force acting on an object in curvature motion.
- Centripetal force is directed toward the axis of rotation or center of curvature.
- a is the Centripetal acceleration
- m is the mass of the object
- v is the speed or velocity of the object
- r is the radius
- Formula: F = maC = mv2/r
- Centrifugal force is equal in magnitude and opposite in direction to the centripetal force.
Blood Composition
- Centripetal technique is one way to separate the blood components.
- Blood Composition Percentages after Separation:
- plasma (55%)
- Water: 90%
- white blood cells & platelets (4%)
- red blood cells (41%)
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