Podcast
Questions and Answers
What is the definition of a measurement?
What is the definition of a measurement?
- The act of combining multiple physical quantities.
- An estimation of physical quantities without using standard units.
- A comparison between different physical quantities.
- The process of finding the size or amount of a physical quantity using a standard unit. (correct)
Which of the following is NOT a fundamental quantity?
Which of the following is NOT a fundamental quantity?
- Area (correct)
- Length
- Electric current
- Time
What is the symbol for the fundamental quantity of mass?
What is the symbol for the fundamental quantity of mass?
- m
- g
- M (correct)
- kg
Which term describes a continuous change in position of an object relative to a reference point?
Which term describes a continuous change in position of an object relative to a reference point?
How is density expressed in terms of fundamental quantities?
How is density expressed in terms of fundamental quantities?
What type of motion occurs when an object moves in a straight line?
What type of motion occurs when an object moves in a straight line?
In the dimensional formula [x] = [l]a [m]b [t]c [I]d [T]e [n]f [Iv]g, what does 'L' represent?
In the dimensional formula [x] = [l]a [m]b [t]c [I]d [T]e [n]f [Iv]g, what does 'L' represent?
What is the formula for calculating error in measurements?
What is the formula for calculating error in measurements?
What is implied by the statement that measurements are always uncertain?
What is implied by the statement that measurements are always uncertain?
Which of the following is true about distance?
Which of the following is true about distance?
Which factor does NOT influence the accuracy of measurements?
Which factor does NOT influence the accuracy of measurements?
What is the formula for average speed?
What is the formula for average speed?
Which of the following derived quantities is expressed using the unit 'm2'?
Which of the following derived quantities is expressed using the unit 'm2'?
The dimension of a physical quantity expressed as [ρ] = ML−3 represents which of the following?
The dimension of a physical quantity expressed as [ρ] = ML−3 represents which of the following?
What type of error arises from a measuring device being out of calibration?
What type of error arises from a measuring device being out of calibration?
How is velocity different from speed?
How is velocity different from speed?
Which kind of motion does not consider the causes of motion?
Which kind of motion does not consider the causes of motion?
Which statement accurately describes random errors?
Which statement accurately describes random errors?
What does displacement measure?
What does displacement measure?
What is meant by the term 'precision' in measurements?
What is meant by the term 'precision' in measurements?
In what dimension does motion described as being in a plane occur?
In what dimension does motion described as being in a plane occur?
What is the consequence of random errors when taking multiple measurements?
What is the consequence of random errors when taking multiple measurements?
Which type of error can be reduced by averaging multiple measurements?
Which type of error can be reduced by averaging multiple measurements?
Which type of error cannot be reduced by averaging measurements?
Which type of error cannot be reduced by averaging measurements?
What indicates the magnitude of a vector?
What indicates the magnitude of a vector?
Under what condition are two vectors considered equal?
Under what condition are two vectors considered equal?
How does multiplying a vector by a scalar greater than zero affect the vector?
How does multiplying a vector by a scalar greater than zero affect the vector?
What is a resultant vector?
What is a resultant vector?
Which method is used for adding two vectors geometrically?
Which method is used for adding two vectors geometrically?
What happens when you subtract vector B from vector A?
What happens when you subtract vector B from vector A?
If the sum of two vectors is zero, what can be inferred about those vectors?
If the sum of two vectors is zero, what can be inferred about those vectors?
According to the parallelogram rule, what are the vectors considered?
According to the parallelogram rule, what are the vectors considered?
What represents the acceleration vector in two-dimensional motion?
What represents the acceleration vector in two-dimensional motion?
In projectile motion, what characterizes the y-direction motion?
In projectile motion, what characterizes the y-direction motion?
What is the primary assumption made regarding air resistance in projectile motion?
What is the primary assumption made regarding air resistance in projectile motion?
Which equation is used to determine the final position in two-dimensional motion?
Which equation is used to determine the final position in two-dimensional motion?
What shape does the trajectory of a projectile describe?
What shape does the trajectory of a projectile describe?
What is true regarding the horizontal motion of a projectile?
What is true regarding the horizontal motion of a projectile?
When calculating displacement in two-dimensional motion, which vectors are combined?
When calculating displacement in two-dimensional motion, which vectors are combined?
What does the symbol 'g' represent in the context of projectile motion?
What does the symbol 'g' represent in the context of projectile motion?
What represents the components of vector A in a rectangular coordinate system?
What represents the components of vector A in a rectangular coordinate system?
How can vector subtraction be performed?
How can vector subtraction be performed?
What is a unit vector?
What is a unit vector?
In the expression for vector R as $\vec{R} = \vec{A} + \vec{B}$, what are the resultant components?
In the expression for vector R as $\vec{R} = \vec{A} + \vec{B}$, what are the resultant components?
What is the unit vector in the direction of vector $\vec{A}$?
What is the unit vector in the direction of vector $\vec{A}$?
Which of the following represents unit vectors in the Cartesian coordinate system?
Which of the following represents unit vectors in the Cartesian coordinate system?
If the vector $\vec{r}$ is given by $x î + y ĵ + z k̂$, what is the unit vector $\hat{r}$ in the same direction?
If the vector $\vec{r}$ is given by $x î + y ĵ + z k̂$, what is the unit vector $\hat{r}$ in the same direction?
What do the vectors $\hat{i}, \hat{j}, \hat{k}$ denote in three-dimensional space?
What do the vectors $\hat{i}, \hat{j}, \hat{k}$ denote in three-dimensional space?
Flashcards
Measurement
Measurement
The process of finding the size or amount of a physical quantity using a standard unit.
Fundamental Quantities
Fundamental Quantities
Quantities that cannot be expressed in terms of other physical quantities.
Derived Quantities
Derived Quantities
Quantities that can be expressed in terms of fundamental quantities.
Basic Unit
Basic Unit
The smallest unit of a physical quantity. For example, the meter (m) is the basic unit of length.
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Dimensional Formula
Dimensional Formula
A way to represent the dimensions of a physical quantity using letters representing fundamental quantities.
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Uncertainty in Measurement
Uncertainty in Measurement
The degree of precision in a measurement.
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Significant Digits
Significant Digits
A system of expressing the reliability of a measurement by considering the number of significant digits.
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Basic Unit
Basic Unit
The smallest unit of a physical quantity. For example, the meter (m) is the basic unit of length.
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Error
Error
The difference between the observed value and the true value of a physical quantity.
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Random Error
Random Error
Unpredictable variations in measurements caused by factors like equipment, environment, or observer estimation.
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Systematic Error
Systematic Error
Consistent deviations in measurements caused by faulty equipment, incorrect calibration, or a flawed procedure.
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Accuracy
Accuracy
The closeness of a measured value to the true value of a quantity.
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Precision
Precision
The closeness of a set of measurements to each other.
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Relative Error
Relative Error
The difference between a measurement and the true value expressed as a fraction of the true value.
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Absolute Error
Absolute Error
The absolute value of the difference between a measurement and the true value.
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Measurement with Uncertainty
Measurement with Uncertainty
A way to express a measurement, including the best estimate and the uncertainty.
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Magnitude of a Vector
Magnitude of a Vector
A positive scalar value representing the length of a vector.
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Equality of Two Vectors
Equality of Two Vectors
Two vectors are equal if they have the same magnitude and direction. Their position in space does not matter.
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What is motion?
What is motion?
The continuous alteration of an object's position relative to a reference point.
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Changes in a Vector
Changes in a Vector
A change in either the magnitude, direction, or both affects the vector.
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What is kinematics?
What is kinematics?
Describes the motion of an object without considering the forces causing it. Uses quantities like velocity, acceleration, displacement, and time.
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What is distance?
What is distance?
The total distance an object travels from its initial position to its final position. It's always a positive number.
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Scalar Multiplication of a Vector
Scalar Multiplication of a Vector
Multiplying a vector by a scalar changes its magnitude, direction, or both, depending on the scalar value.
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What is displacement?
What is displacement?
The shortest distance between an object's initial and final positions. It's a vector quantity, meaning it has both magnitude and direction.
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Resultant Vector
Resultant Vector
The single vector resulting from adding two or more vectors.
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Tail-to-Head Method (Triangle Rule)
Tail-to-Head Method (Triangle Rule)
A graphical method of adding vectors by placing the tail of one vector at the head of the other.
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What is speed?
What is speed?
The ratio of the distance travelled by an object to the time taken. It tells us how fast an object is moving.
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What is average speed?
What is average speed?
The total distance travelled divided by the total time taken. It's always a positive number.
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Parallelogram Rule
Parallelogram Rule
A graphical method of adding vectors by forming a parallelogram with the vectors as adjacent sides. The diagonal of the parallelogram represents the resultant.
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What is velocity?
What is velocity?
The rate of change of displacement over time. It tells us how fast an object is moving and in what direction.
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Subtraction of Vectors
Subtraction of Vectors
Subtracting a vector is the same as adding its negative.
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What is average velocity?
What is average velocity?
The total displacement divided by the total time taken. It's a vector quantity, meaning it has both magnitude and direction.
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Unit Vector
Unit Vector
A vector that has a magnitude of one and is dimensionless. It is used to indicate direction.
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Unit Vector in the Direction of another Vector (A)
Unit Vector in the Direction of another Vector (A)
A vector in the direction of another vector, but with a magnitude of one. It is obtained by dividing the vector by its magnitude.
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Components of a Vector
Components of a Vector
A vector can be broken down into its components along the x, y, and z axes. These components are represented by the scalar multiples of the unit vectors î, ĵ, and k̂ respectively.
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Rectangular Coordinate System (Cartesian)
Rectangular Coordinate System (Cartesian)
A system where a point in space is defined by its coordinates on three perpendicular axes: x, y and z. It's used to represent vectors as the sum of their components.
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Adding Vectors Algebraically
Adding Vectors Algebraically
Adding vectors algebraically involves adding their corresponding components. The sum of two vectors is a new vector with components that are the sum of the original components.
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Subtracting Vectors Algebraically
Subtracting Vectors Algebraically
Subtracting vectors is like adding the negative of the second vector to the first vector. The negative of a vector is the same vector but pointing in the opposite direction.
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Components of the Resultant Vector
Components of the Resultant Vector
The components of the sum of two vectors are simply found by adding the corresponding components of the original vectors. For example, the x-component of the resultant vector is the sum of the x-components of the original vectors.
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Displacement (∆r)
Displacement (∆r)
The change in the position of an object, represented by a vector pointing from its initial to its final position.
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Projectile Motion: Horizontal Component
Projectile Motion: Horizontal Component
Velocity in the x-direction remains constant, meaning there is no acceleration in the x-direction.
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Projectile Motion: Acceleration due to Gravity (g)
Projectile Motion: Acceleration due to Gravity (g)
The acceleration acting on an object due to gravity, which is always directed downwards.
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Projectile Motion: Trajectory
Projectile Motion: Trajectory
The path traced by a projectile during its motion, which is always a parabolic shape.
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Position Vector (r)
Position Vector (r)
The vector that specifies the location of an object in space, with components along the x and y axes.
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Kinematics in Two Dimensions
Kinematics in Two Dimensions
The study of motion in two dimensions, considering both horizontal and vertical components.
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Projectile Motion: Vertical Component
Projectile Motion: Vertical Component
A projectile motion's vertical component is a free-fall motion, meaning the object is only influenced by gravity.
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Projectile Motion: Acceleration (a)
Projectile Motion: Acceleration (a)
A fundamental concept in physics that describes the rate of change of a projectile's velocity. It is zero in the x-direction for a projectile due to no force acting on the projectile horizontally.
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General Physics (Phys1011)
- Course taught by Deresse Ahmed
- Department of Physics, College of Natural and Computational Science
- Contact: deresseahmed39@gmail.com
- Date: November 4, 2024
Introduction
- Physics is a fundamental Natural Science studying nature's laws and their manifestations.
- Its main approaches are unification and reduction.
- Physics has macroscopic (laboratory, terrestrial, astronomical scales) and microscopic (atomic, molecular, nuclear) domains.
- Physics is exciting due to its beautiful and universal theories.
- There's a constant interplay between physics and technology.
- There are four fundamental forces in nature: gravitational, electromagnetic, strong nuclear, and weak nuclear forces.
Nature of Physical Laws
- Physical laws deal with conserved quantities, i.e., those that remain constant during a process.
- Important conservation laws include mass, energy, linear momentum, angular momentum, charge, and parity in specific cases
- Conservation laws are strongly related to symmetries in nature.
Chapter 1: Preliminaries
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Physical quantities consist of numerical value and associated units.
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Measurement involves comparing a physical quantity to a standard.
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Fundamental quantities (length, mass, time, electric current, temperature, amount of substance, luminous intensity) are basic units of measurement.
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Derived quantities are quantities that can be expressed in terms of fundamental quantities, such as area, volume, and density.
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Measurement uncertainty is inherent due to limitations in measuring devices and procedures.
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Random errors fluctuate unpredictably, while systematic errors consistently deviate from the true value.
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Errors can be classified as absolute (difference between measured and accepted values) or relative (absolute error divided by the accepted value).
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The significance of digits in measurements depends on the precision of the measuring instrument.
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Vectors have both magnitude and direction.
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The scalar product (dot product) of two vectors is a scalar value.
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The vector product (cross product) of two vectors is a vector.
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Vectors and their representations (geometric and algebraic).
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Equality of vectors.
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Addition and subtraction of vectors geometrically (tail-to-head, parallelogram) and algebraically (component-wise).
Kinematics and Dynamics of Particle
- Mechanics studies motion and its causes
- Kinematics describes motion without considering causes.
- Dynamics considers the causes of motion (forces).
- Statics deals with equilibrium.
- Motion is continuous change in position relative to a reference point.
Kinematics in One Dimension
- Kinematics in one dimension deals with motion along a straight line.
- Key quantities include position, distance, displacement, speed, and velocity.
- Instantaneous velocity is the velocity at a specific instant.
- Average and instantaneous acceleration.
Kinematics in Two Dimensions
- Projectile motion: motion in two dimensions under constant acceleration (gravity).
- Assumptions of projectile motion: no air resistance, constant gravity.
- Horizontal and vertical components of motion are independent.
- Trajectory is parabolic.
- Circular motion: uniform circular motion has constant speed, but changing velocity due to changing direction.
- Key quantities include angular velocity, angular acceleration.
- Tangential and radial acceleration components.
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