In the International System of Units (SI), what is the base unit for temperature?
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Kelvin (K)
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In the International System of Units (SI), what is the base unit for temperature?
Kelvin (K)
What is the SI base unit for luminous intensity?
Candela (cd)
Which SI base unit is used for measuring mass?
Kilogram (kg)
What is the SI derived unit for force?
Newton (N) or kilogram-meter per second squared ((kg \cdot m/s^2))
In the SI system, what is the unit used to measure pressure?
Pascal (Pa)
What is the SI derived unit for work and energy?
Joule (J)
What is the SI derived unit for electrical resistance?
Ohm ((\Omega))
What factor is represented by the SI prefix 'mega' (M)?
(10^6) (one million)
Which SI prefix corresponds to the factor (10^9)?
Giga (G)
What factor is represented by the SI prefix 'micro' ((\mu))?
(10^{-6}) (one millionth)
Which SI prefix corresponds to the factor (10^{-9})?
Nano (n)
What does 1 kilometer (km) represent in meters?
(10^3) or 1,000 meters
What factor is represented by the SI prefix 'milli' (m)?
(10^{-3}) (one thousandth)
What is the definition of a scalar quantity in physics?
A quantity that has magnitude ONLY.
What is the definition of a vector quantity in physics?
A quantity that has both magnitude AND direction.
What is the difference between distance and displacement?
Distance is a scalar, whereas displacement is a vector (distance in a particular direction).
How do speed and velocity differ in terms of quantity type?
Speed is a scalar, whereas velocity is a vector (speed in a particular direction).
What are two key characteristics of the magnitude of a vector quantity?
The magnitude of a vector is a scalar quantity (a number) and is always positive.
How are the rectangular components (A_x) and (A_y) of a vector (A) calculated given its magnitude and the angle (\theta) from the positive x-axis?
(A_x = |A|\cos\theta) and (A_y = |A|\sin\theta)
What is the formula for finding the magnitude of vector (A) from its components (A_x) and (A_y)?
(|A| = \sqrt{A_x^2 + A_y^2})
What formula is used to find the direction (\theta) of vector (A) from its components?
(\theta = \tan^{-1}(A_y/A_x)) (measured from the +x-axis rotating toward the +y-axis)
Are the components (A_x) and (A_y) of a vector themselves vectors or scalars?
They are numbers (scalars), not vectors.
What is the formula for calculating average speed?
Average Speed ((s_{avg})) = Total Distance ((d)) / Total Time ((\Delta t))
Does average speed always equal the magnitude of average velocity?
No, they are not necessarily equal.
What is the definition of average velocity?
The rate of change of position with time ((\vec{v}_{avg} = \Delta \vec{x} / \Delta t)).
In the context of kinematics, how is displacement defined?
Displacement is a vector representing the straight-line distance in a specific direction from the start to the end.
How is average acceleration defined in physics?
The rate of change of velocity with time ((a = \Delta v / \Delta t)).
What are the three ways an object's velocity can change to result in acceleration?
What is the definition of instantaneous velocity?
The instantaneous rate of change of position with respect to time ((v_i = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t} = \frac{dx}{dt})).
What is the definition of instantaneous acceleration?
The instantaneous rate of change of velocity with respect to time ((a_i = \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t} = \frac{dv}{dt})).
What are the standard SI units for acceleration?
(m/s^2) or (km/h^2)
What are the standard units for speed and velocity?
(m/s) or (km/h)
State Newton's First Law of Motion (Law of Inertia).
An object remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.
What is the property of a body to remain at rest or in motion with constant velocity called?
Inertia.
What is the mathematical equation for Newton's Second Law of Motion?
Net Force ((F)) = mass ((m)) (\times) acceleration ((a)).
According to Newton's Second Law, how is acceleration related to net force and mass?
Acceleration is directly proportional to net force and inversely proportional to mass. ((a = F/m)).
State Newton's Third Law of Motion.
For every action, there is an equal and opposite reaction. (If object A exerts force on B, B exerts an equal and opposite force on A).
What are four key characteristics of action-reaction force pairs in Newton's Third Law?
Can action and reaction forces cancel each other out? Why or why not?
No, they cannot be cancelled out because they act on different objects.
How is 'net force' defined in physics?
The vector sum of all forces acting on an object. ((\Sigma F)).
What is the basic physical definition of a force?
A push or a pull exerted on one object by another object.
What is an 'external force'?
Force originating from outside an object (not internal).
What is the definition of mass in physics?
The total amount of matter in an object. (Scalar, independent of gravity).
What is the definition of weight?
The force of gravity acting on an object. (Vector, depends on local gravity).
What is the formula for weight?
Weight ((W)) = mass ((m)) (\times) acceleration due to gravity ((g)). ((W = mg)).
What are the units of measurement for mass and weight?
Mass is measured in kilograms (kg), whereas weight is measured in Newtons (N).
What is the standard value for acceleration due to gravity ((g)) on Earth used in these notes?
(9.81 m/s^2) (or (9.8 m/s^2)).
How does changing the gravitational field (e.g., Earth vs. Moon) affect an object's mass and weight?
Mass remains constant regardless of the gravitational field, whereas weight changes if gravity changes.
How is mass related to inertia?
Greater inertia means the object has greater mass.
What is the definition of 'work' in physics?
The energy transferred to or from an object via the application of force along a displacement. ((W = F \cdot d)).
What is the SI unit for work and energy?
Joule (J)
What is the definition of 'power'?
The rate at which work is done. ((P = F \cdot v)).
What is the SI unit for power?
Watt (W)
Are work and power scalar or vector quantities?
They are both scalar quantities.
What is potential energy (PE)? Give the formula for gravitational PE.
Energy that has potential to become another form (e.g., kinetic energy). ((PE = mgh) for gravitational potential energy).
What are three common types of potential energy mentioned in the notes?
State the Law of Conservation of Energy.
Energy cannot be created or destroyed; it may be transformed from one form to another, but the total amount remains constant.
What is the formula for mechanical energy?
Mechanical Energy ((E_m)) = Kinetic Energy ((KE)) + Potential Energy ((PE)). ((E_m = \frac{1}{2}mv^2 + mgh)).
What is the definition of torque ((\tau))?
A measure of the force that can cause an object to rotate about an axis. (Vector).
What is the formula for torque?
Torque ((\tau)) = force perpendicular ((F)) (\times) distance (moment arm, (d)). ((\tau = Fd)).
Which rule is used to determine the direction of a torque vector?
The right hand grip rule. (Fingers curl in direction of rotation, thumb points in direction of torque).
What is the unit of measurement for torque?
Newton-meter (Nm).
In the standard physics sign convention, is a counterclockwise torque positive or negative?
Counterclockwise torque is considered positive.
What is another term used to describe torque in some contexts?
Moment.
What is the equilibrium condition for a simple lever system (lever principle)?
(F_1 D_1 = F_2 D_2) (Product of force and distance must be equal on both sides).
What is the formula for mechanical advantage in simple machines?
Mechanical Advantage (MA) = (F_{out} / F_{in}) (Ratio of output force to input force).
According to the Law of Conservation of Energy, how does work in relate to work out in an ideal simple machine?
The work done on the machine equals the work done by the machine (((F \times d){in} = (F \times d){out})).
What is the primary function of a fixed pulley system?
A fixed pulley only changes the direction of the input force; it does not reduce the required input force ((F_{in} = F_{out})).
How does a movable pulley affect the input force required to lift a load?
A movable pulley allows a load to be lifted with less input force than the output weight ((F_{in} < F_{out})).
What are the two key assumptions when analyzing an ideal pulley system with connected masses (like an Atwood machine)?
In a pulley system with masses (M) and (m) (where (M > m)), what is the equation of motion for the heavier mass (M)?
(Mg - T = Ma) (where (Mg) is weight, (T) is tension, and (Ma) is net force).
In a pulley system with masses (M) and (m) (where (M > m)), what is the equation of motion for the lighter mass (m)?
(T - mg = ma) (where (T) is tension, (mg) is weight, and (ma) is net force).
When applying Newton's Second Law ((F=ma)) to connected masses in a pulley system, which forces are defined as positive?
Forces acting in the direction of the acceleration are considered positive.
What is the definition of a wave?
A disturbance that can propagate.
What do waves transfer?
Energy.
What do waves NOT transfer while propagating?
Matter.
What type of waves require a medium for propagation?
Mechanical waves.
What type of waves do not require a medium for propagation?
Non-mechanical waves (e.g., electromagnetic waves).
In which type of wave are particles displaced perpendicular to the wave's direction of travel?
Transverse wave.
In which type of wave are particles displaced parallel to the wave's direction of travel?
Longitudinal wave.
What term describes the distance from a wave's midpoint to its crest or trough?
Amplitude.
What term describes the distance between identical points on adjacent waves?
Wavelength ((\lambda)).
What term describes the time taken to complete one full cycle of oscillation?
Period ((T)).
What term describes the number of cycles per unit of time?
Frequency ((f)).
What is the unit of measurement for frequency ((f))?
Hertz (Hz).
What is the mathematical relationship between frequency ((f)) and period ((T))?
(f = 1/T)
What is the formula for wave speed ((v))?
(v = \lambda f) or (v = \lambda / T)
What is the SI unit of angular measure?
Radian (rad).
What is the definition of one radian?
The angle subtended from the center of a circle which intercepts an arc equal in length to the radius of the circle.
What is the mathematical relationship between the subtended angle ((\theta)) in radians, the arc length ((s)), and the radius ((r))?
(\theta = s/r) where (\theta) is the subtended angle in radians, (s) is the arc length, and (r) is the radius.
What is the conversion between a complete revolution in degrees and radians?
(360^{\circ} = 2\pi) rad.
What is the relationship between (\pi) radians and degrees?
(\pi) rad = (180^{\circ}).
What is (30^{\circ}) converted to radians?
(\pi / 6) rad.
What is (\pi / 4) rad converted to degrees?
(45^{\circ}).
What is the definition of angular frequency ((\omega))?
The angular displacement per unit of time.
What is the unit of angular frequency ((\omega))?
Radians per second (rad/s).
Is angular frequency a scalar or vector quantity?
Scalar.
What are the mathematical formulas for angular frequency ((\omega)) in terms of period ((T)) or frequency ((f))?
(\omega = 2\pi/T) or (\omega = 2\pi f).
What is wave interference?
When two or more waves overlap in the same region.
What does the Principle of Superposition state when waves overlap?
The resulting disturbance is the algebraic sum of the individual disturbances.
When does wave interference occur?
Only while the waves are overlapping.
What type of interference occurs when waves combine to create a larger wave?
Constructive interference.
What type of interference occurs when waves overlap and cancel each other out?
Destructive interference.
What conditions are needed for a standing wave to form?
Identical frequency and amplitude interfering while traveling in opposite directions.
How does a wave reflect from a free end?
The wave returns right side up.
How does a wave reflect from a fixed end?
The wave will be inverted.
In terms of movement, what distinguishes standing waves from traveling waves?
They vibrate vertically but do not travel horizontally.
In a standing wave, what term describes the position that stays fixed over time due to destructive interference?
Node.
In a standing wave, what term describes the position that vibrates with maximum amplitude?
Antinode.
What is the displacement at a node in a standing wave?
Zero displacement.
What is the lowest possible standing wave frequency?
The fundamental frequency ((f_1)).
For the first harmonic on a string fixed at both ends, how much of a wavelength ((\lambda)) fits into the length of the string ((L))?
Half a wavelength ((\lambda/2)).
What is the formula for wavelength ((\lambda)) in terms of length ((L)) for the 1st harmonic on a string?
(\lambda = 2L)
What is the relationship between the (n)-th harmonic frequency ((f_n)) and the fundamental frequency ((f_1)) for a string?
(f_n = nf_1) where (n) is any positive integer (1, 2, 3...).
Can a standing wave on a string have odd harmonics, even harmonics, or both?
Both odd and even.
What is the relationship between string length ((L)) and wavelength ((\lambda)) for the 2nd harmonic?
(L = \lambda) or (\lambda = L).
What is the relationship between string length ((L)) and wavelength ((\lambda)) for the 3rd harmonic?
(L = 3\lambda/2) or (\lambda = 2L/3).
For the (n)-th harmonic, how many loops are present in the standing wave pattern on a string?
(n) loops.
What is the general formula for the relationship between length ((L)), harmonic number ((n)), and wavelength ((\lambda)) on a string?
(L = n(\lambda/2)) or (\lambda = 2L/n).
What type of wave is a sound wave?
Longitudinal wave.
How do air molecules move when a speaker transfers energy through the air?
They oscillate back and forth parallel to the wave direction.
What harmonic numbers (n) are possible for a standing wave in an open tube?
Both odd and even integers (n = 1, 2, 3...).
What is the formula for the fundamental frequency ((f_1)) in an open tube?
(f_1 = v/2L).
What is the formula for wavelength ((\lambda_n)) in an open tube for the (n)-th harmonic?
(\lambda_n = 2L/n).
What harmonic numbers (n) are possible for a standing wave in a closed tube?
Only odd harmonics (n = 1, 3, 5...).
What is the formula for the fundamental frequency ((f_1)) in a closed tube?
(f_1 = v/4L).
What is the formula for wavelength ((\lambda_n)) in a closed tube for the (n)-th harmonic?
(\lambda_n = 4L/n).
If a standing wave in an open tube has a frequency of 1000 Hz at (n=2), what is the next highest possible frequency ((n=3))?
1500 Hz (Next harmonic (n=3) after (n=2) at 1000 Hz).
Why do air molecules behave differently in a closed tube compared to an open tube?
They are not free to oscillate parallel to the tube at the closed end.
What are the two components of an electromagnetic wave?
Oscillating electric and magnetic fields.
In what orientation do the electric and magnetic fields oscillate relative to each other?
Perpendicular.
Do electromagnetic waves require a medium for propagation?
Yes, they can propagate through a vacuum.
At what speed do all electromagnetic waves travel?
Approximately (3 \times 10^8) m/s.
If an electromagnetic radiation has a frequency of (1.5 \times 10^{14}) Hz, what is its wavelength? ((v = 3 \times 10^8) m/s)
(2 \times 10^{-6}) m.
How are electromagnetic waves classified in the electromagnetic spectrum?
Wavelengths and frequencies.
According to the spectrum diagram, which radiation type has the highest frequency and shortest wavelength?
Gamma rays.
What is the wavelength range (in nanometers) for the visible light spectrum?
Approximately 400 nm to 700 nm.
Do waves with high frequency and short wavelength have high or low energy?
High energy.
What are two characteristics of waves with lower frequencies and longer wavelengths?
Low energy and less harmful for living organisms.
