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Questions and Answers

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:

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.

Displacement = meters Velocity = meters per second Acceleration = meters per second squared Force = Newtons

Match the concepts with the descriptions that best characterize them:

<p>Vector = Quantity with both magnitude and direction Scalar = Quantity with magnitude only Force = A push or pull Position = Location relative to a reference point</p> Signup and view all the answers

Relate the following scenarios to the concept that is best illustrated:

<p>A car speeding up = Acceleration A runner changing direction = Velocity The length of a track = Distance How far from the start a runner ends = Displacement</p> Signup and view all the answers

Match the type of quantity with an example:

<p>Scalar Quantities = Distance &amp; Speed Vector Quantities = Displacement &amp; Velocity Definition of Force = Push or Pull Kinematics = branch of mechanics that deals with the motion</p> Signup and view all the answers

Match the description with the term:

<p>$\Delta x$ = Displacement $v_f - v_i$ = Change in Velocity $t_f - t_i$ = Change in Time $\frac{dv}{dt}$ = Instantaneous acceleration</p> Signup and view all the answers

Match the quantity with its unit measured:

<p>Distance = Measured in meters Time = Measured in seconds Mass = Measured in kilograms Acceleration = Measured in meters per second squared</p> Signup and view all the answers

Match each law or concept to its correct description:

<p>Newton's First Law = An object's velocity remains constant unless a net force acts on it. Newton's Second Law = The net force on an object is equal to the mass of the object times its acceleration, $\vec{F}_{net} = m\vec{a}$ Net Force = The vector sum of all forces acting on an object. Mass = A measure of the amount of 'stuff' in an object and its resistance to acceleration.</p> Signup and view all the answers

Match each type of force with its defining characteristic:

<p>Contact Force = Arises from direct physical contact between objects. Action-at-a-Distance Force = Acts between objects that are not physically touching. Gravitational Force = An attractive force between objects with mass. Net Force = The vector sum of all forces acting on an object.</p> Signup and view all the answers

Relate the effect of force on objects with different masses.

<p>Small Mass = Experiences a large acceleration when a force is applied. Large Mass = Experiences a small acceleration when the same force is applied. No Net Force = Object maintains constant velocity. Equal and opposite forces = No change in the motion of the object</p> Signup and view all the answers

Match the examples to illustrate the concept of Net Force

<p>Balanced Forces = An object at rest remains at rest. Unbalanced Forces = An object accelerates in the direction of the net force. Zero Net Force = Object moves with constant velocity or is at rest. Non-zero Net Force = Change in the state of motion of the object</p> Signup and view all the answers

Match the description of a scenario to the physical law it exemplifies:

<p>A hockey puck sliding on ice eventually comes to rest. = Newton's First Law (due to friction, an external force). A car accelerates faster with more engine power. = Newton's Second Law. An astronaut floats in space. = Newton's First Law (negligible net force). A book resting on a table doesn't move. = Newton's First Law (net force is zero).</p> Signup and view all the answers

Match the units to the quantities they measure:

<p>Newton (N) = Force Kilogram (kg) = Mass Meters per second squared (m/s²) = Acceleration Piconewton (pN) = Small Force (10⁻¹² N)</p> Signup and view all the answers

Match each scenario involving microtubules to its corresponding force or effect:

<p>Microtubules pulling chromosomes apart = Cell Division Microtubules exerting a force of 1 pN = Forces at the cellular level Microtubules maintaining cell shape = Structural Support No force from microtubules on the cell = The cell will be unable to maintain shape or properly divide.</p> Signup and view all the answers

Match the correct relationships according to Newton's Second Law

<p>Constant Mass, Increasing Force = Increasing acceleration Constant Force, Increasing Mass = Decreasing acceleration Zero Net Force = No acceleration Increasing Mass and Force Proportionally = Constant acceleration</p> Signup and view all the answers

Match each concept with its correct description:

<p>Newton's Third Law = For every action, there is an equal and opposite reaction. Applied Stress = Force per unit area applied to a material. Strain = The resulting deformation of a material under stress, expressed as a ratio of change in length to original length. Young's Modulus = A measure of a material's stiffness or resistance to elastic deformation under stress.</p> Signup and view all the answers

Match the formula element to what it represents in the Elastic Deformation equation:

<p>F = Applied Force A = Cross-sectional Area $\Delta L$ = Stretch or change in length L = Original Length</p> Signup and view all the answers

Match the property of a stretched copper wire with its description:

<p>Proportional to Applied Force = The greater the force, the more the wire stretches. Proportional to Original Length = Longer wires stretch more under the same force. Inversely Proportional to Cross-sectional Area = Thicker wires stretch less under the same force. Elastic Deformation = The wire returns to its original length once the force is removed.</p> Signup and view all the answers

Match the following terms related to force with their definitions:

<p>$F_{AB}$ = Force exerted by body A on body B. $F_{BA}$ = Force exerted by body B on body A. Magnitude of Force = The amount or intensity of the force, irrespective of direction. Oppositely Directed Force = A force acting in the reverse direction.</p> Signup and view all the answers

Match the material type to its relevance in biological systems:

<p>Bone = Provides structural support and protection. Soft Tissues = Includes muscles, tendons, and ligaments that enable movement and connection. Copper Wire = Illustrates the elastic deformation properties in a simple system. Structural Solids = Materials such as bones and tissues which play key biological roles.</p> Signup and view all the answers

Match each concept related to forces with the correct description:

<p>Tensile Stress = Stress caused by pulling or stretching a material. Elastic Deformation = Temporary change in shape that disappears when the stress is removed. Applied Force = External force exerted on an object or material. Cross-sectional Area = The area of a slice taken perpendicular to the direction of the force.</p> Signup and view all the answers

Match the variables in Young's modulus equation with their units of measurement.

<p>Force (F) = Newtons (N) Area (A) = Square meters ($m^2$) Length (L, $\Delta L$) = Meters (m) Young's modulus (Y) = Pascals (Pa) or $N/m^2$</p> Signup and view all the answers

Associate the description with the corresponding law or material property.

<p>Newton's Third Law = Action and reaction forces are equal in magnitude and opposite in direction. Elastic Deformation = The material returns to its original shape after the force is removed. Young’s Modulus = The ratio of stress to strain. Structural Solids = Materials that play major roles in the life process of an organism.</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Power = The rate at which energy is transferred or converted. Momentum = A vector quantity representing the product of an object's mass and velocity. Torque = The rotational equivalent of linear force; a measure of how much a force causes an object to rotate. Angular Velocity = The rate of change of angular displacement with respect to time.</p> Signup and view all the answers

Match the quantities with their formulas:

<p>Power = $P = \frac{W}{t}$ Momentum = $\vec{p} = m\vec{v}$ Speed of a point on a rotating rigid object = $v = r\omega$ Average angular velocity = $\omega_{average,z} = \frac{\Delta\theta}{\Delta t}$</p> Signup and view all the answers

Match the following activities with the concept they primarily demonstrate:

<p>Walking = Work done at a lower power output. Running = Work done at a higher power output. A spinning top = Rotational motion. Applying a wrench to a bolt = Torque.</p> Signup and view all the answers

Match each situation with the physical quantity that remains constant (conserved), assuming no external forces or torques are present:

<p>Isolated system of colliding objects = Momentum Rotating object with no external torques = Angular Velocity An object lifted straight up at a constant speed = Power An object rotating around an axis = Torque</p> Signup and view all the answers

Match each real-world scenario to the physics concept it exemplifies:

<p>A car accelerating from rest = Change in momentum A figure skater spinning faster by pulling their arms in = Conservation of Angular Velocity An electric motor driving a machine = Power transfer Tightening a screw with a screwdriver = Application of torque</p> Signup and view all the answers

Match the following terms with their qualitative description:

<p>Power = How quickly energy is transferred. Momentum = Inertia in motion. Torque = Twisting force. Angular Velocity = Rotational speed.</p> Signup and view all the answers

Match the concepts to their effect in real-world scenarios:

<p>High Power = Rapid task completion. High Momentum = Difficult to stop. High Torque = Strong rotational capability. High Angular Velocity = Fast rotation.</p> Signup and view all the answers

Match the terms related to rotational motion with their correct descriptions:

<p>Torque = The capability of a force to produce a change in the rotational motion of a body. Lever Arm = The position vector from the axis of rotation to the point where the force is applied. Centripetal Force = The force that keeps an object moving in a circular path, directed towards the center of the circle. Centrifugal Force = The apparent outward force on a rotating object, equal and opposite to the centripetal force.</p> Signup and view all the answers

Associate each scenario with the physical principle that best explains it:

<p>Tightening a Bolt = Torque A Car Rounding a Curve = Centripetal Force A Washing Machine Spin Cycle = Centrifugal Force Opening a Door = Torque</p> Signup and view all the answers

Match the variables in the centripetal force equation with their definitions:

<p>F = Centripetal Force m = Mass of the Object v = Speed of the Object r = Radius of the Circular Path</p> Signup and view all the answers

Match the following applications with the physical principle they utilize:

<p>Jaw Muscles = Torque Blood Separation = Centripetal Technique Biceps Muscle Action = Torque Amusement Park Ride = Centripetal Force</p> Signup and view all the answers

Match the descriptions with the appropriate quantity related to circular motion:

<p>Force component towards the center = Centripetal Force Perceived outward force in circular motion = Centrifugal Force Force causing rotational acceleration = Torque Radius of the circular path = Lever Arm Distance</p> Signup and view all the answers

Associate equation elements with their full expression:

<p>$\tau$ = $rF\sin{\phi}$ $F_c$ = $\frac{mv^2}{r}$ r = Position vector (lever arm vector) $\phi$ = Angle between the force and the lever arm vector</p> Signup and view all the answers

Match the description with the force it describes:

<p>Points towards the centre of curvature = Centripetal force Equal in magnitude and opposite in direction to the centripetal force = Centrifugal force Causes a change in rotational motion = Torque Force exerted by an object on another in direct contact = Normal Force</p> Signup and view all the answers

Relate the magnitude of the force to it's impact

<p>Small lever arm, large force = Large torque Small lever arm, small force = Small torque Large lever arm, large force = Extremely large torque Large lever arm, small force = Moderate torque</p> Signup and view all the answers

Match each of the following scenarios with the type of force that is primarily involved:

<p>A car accelerating from a stop = Applied Force A book resting on a table = Normal Force A skydiver falling through the air = Air Resistance A hockey puck sliding on ice gradually slowing down = Friction</p> Signup and view all the answers

Match the descriptions of the states of matter to their plasma-related characteristics:

<p>Gas with ionized particles = Plasma Fixed volume, fixed shape = Solid Fixed volume, variable shape = Liquid Variable volume, variable shape = Gas</p> Signup and view all the answers

Match each quantity with its corresponding SI unit:

<p>Force = Newton (N) Mass = Kilogram (kg) Velocity = Meters per second (m/s) Energy = Joule (J)</p> Signup and view all the answers

Match the scenarios to the types of potential energy involved:

<p>A stretched rubber band ready to be released = Elastic Potential Energy A ball held high above the ground = Gravitational Potential Energy Two positive electrical charges being brought closer = Electric Potential Energy Compressed spring = Elastic Potential Energy</p> Signup and view all the answers

Match each wave phenomenon with its correct description:

<p>Bending of waves around obstacles = Diffraction The change in direction of waves as they pass from one medium to another = Refraction The superposition of waves that results in a combined wave with increased or decreased amplitude = Interference The bouncing back of a wave when it hits a barrier = Reflection</p> Signup and view all the answers

Match the term related to motion with its definition:

<p>The rate at which an object changes its velocity = Acceleration The distance traveled by an object per unit time = Speed The speed of an object in a particular direction = Velocity A push or pull exerted on an object = Force</p> Signup and view all the answers

Match the terms related to electricity with their definitions:

<p>The flow of electric charge = Current The opposition to the flow of electric charge = Resistance The potential difference between two points in a cicuit = Voltage A closed path that allows electric charge to flow = Circuit</p> Signup and view all the answers

Match each process with its description relating to heat transfer:

<p>Heat transfer through direct contact = Conduction Heat transfer through the movement of fluids = Convection Heat transfer through electromagnetic waves = Radiation Energy transfer due to temperature difference = Heat</p> Signup and view all the answers

Flashcards

Position

Location of an object relative to a reference point.

Distance

Magnitude between two points (scalar).

Displacement

Change in position of an object (vector).

Speed

Magnitude of the rate of change of an object’s movement.

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Velocity

Rate of change of position with direction (vector).

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Acceleration

Change in velocity and/or direction.

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Average Acceleration

The rate of change of velocity over time.

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Force

A push or a pull on an object.

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Contact Force

Force resulting from direct physical contact between objects.

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Action-at-a-Distance Force

Force that acts without physical contact; examples include gravity and electrical forces.

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Mass

A measure of the amount of matter in an object.

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Newton's First Law

An object remains at rest or in uniform motion unless acted upon by a net force.

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Net Force

The vector sum of all individual forces acting on an object.

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Newton's Second Law

The net force on an object equals its mass times its acceleration (F=ma).

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Microtubules

Protein structures in cells that help maintain shape and facilitate movement.

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Chromosome Acceleration

A force of 1.00 x 10^-12 N applied to a 2.00 x 10^-17 kg chromosome results in an acceleration of 5.00 x 10^5 m/s².

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Newton's Third Law

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

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Newton's Third Law (Formal)

Whenever body A exerts a force on body B, body B exerts an equal and opposite force on body A.

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Elastic Deformation

Deformation where the object returns to its original shape after the force is removed.

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Wire Stretch Factors

The amount a wire stretches is proportional to applied force and original length, and inversely proportional to cross-sectional area.

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Applied Stress

Ratio of applied force to cross-sectional area causing deformation.

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Young's Modulus (Y)

The constant of proportionality in elastic deformation, relating stress and strain.

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Strain

The dimensionless ratio of the change in length to the original length under stress.

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Tensile Stress

A measure of tensile or compressive force per unit area

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Power

The rate at which energy is transferred or transformed.

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Power Equation

P = W/t, where W is work and t is time.

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Momentum Unit

kg.m/s

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Momentum

A vector pointing in the direction of velocity, dependent on mass and velocity.

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Translation

Movement of an object as a whole through space.

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Rotation

Spinning of an object around an axis.

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Average Angular Velocity

The average rate of change of angular displacement.

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Torque

The rotational equivalent of linear force; the 'turning effect'.

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Lever Arm (r)

Vector from the axis of rotation to the point where force is applied.

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Angle Φ in Torque

The angle between the force vector and the lever arm vector.

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Centripetal Force

Component of force directed towards the center of curvature for an object in motion.

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Centripetal Acceleration (ac)

Acceleration towards the center required to keep an object moving in a circle.

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Centrifugal Force

An apparent outward force on a rotating object, equal and opposite to centripetal force.

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Centripetal Technique Principle

Technique using centrifugal force to separate substances of different densities.

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Magnitude of Torque (τ)

Product of lever arm and sine of the angle between force and lever arm.

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What is Acceleration?

The rate at which an object changes its velocity.

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What is Force?

A push or pull exerted on an object, measured in Newtons (N).

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What is Position?

The location of an object in space, measured from a reference point.

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What is Distance?

The total length traveled by an object, regardless of direction.

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What is Displacement?

The change in position of an object with a specified direction.

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What is Speed?

The rate at which an object covers distance, without regard to direction (scalar quantity).

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What is Velocity?

The rate at which an object changes its position with direction (vector quantity).

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What is Average Acceleration?

The rate of change of velocity over a specified period of time.

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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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