College Physics I Lab Syllabus and Study Guide

Course Overview

This course, College Physics I Lab (PHYS-1401), covers the fundamental principles of physics using algebra and trigonometry. The focus is on classical mechanics and thermodynamics, including harmonic motion, mechanical waves and sound, Newton's Laws of Motion, gravitation, and other fundamental forces. Laboratory activities reinforce these principles through hands-on experiments and data analysis.

Course Structure and Topics

Lecture and Lab Integration

• Lecture topics are closely integrated with laboratory experiments.

• Emphasis on problem-solving and application of physical principles.

• Lab sessions require active participation, data collection, and analysis.

Key Physics Topics Covered

• Representing Motion: Understanding displacement, velocity, and acceleration.

• Motion in One and Two Dimensions: Analyzing linear and projectile motion.

• Vectors and Forces: Vector addition, force tables, and Newton's Laws.

• Work, Energy, and Power: Calculating work done, mechanical energy, and energy conservation.

• Momentum and Collisions: Conservation of linear momentum in various systems.

• Rotational Motion and Equilibrium: Torques, center of gravity, and equilibrium conditions.

• Circular Motion and Gravitation: Centripetal force and gravitational interactions.

• Fluids and Buoyancy: Archimedes' Principle and fluid statics.

• Thermal Properties: Specific heat and calorimetry.

• Waves and Sound: Standing waves in strings and properties of mechanical waves.

Laboratory Experiments Schedule

The following table summarizes the weekly laboratory experiments, aligning with the main physics topics:

Week	Experiment	Main Physics Topic
1	Scientific Calculations, Graphing and Data Analysis	Measurement and Data Analysis
3	Measurement & Uncertainty	Measurement, Uncertainty, and Error Analysis
4	Uniformly Accelerated Motion	Motion in One Dimension
5	Resolving & Adding Vectors - Force Table	Vectors and Forces
6	Projectile Motion	Motion in Two Dimensions
7	Friction	Forces and Newton's Laws
8	Work & Mechanical Energy	Energy and Work
9	Conservation of Linear Momentum	Momentum
10	Centripetal Force	Circular Motion and Gravity
11	Torques, Equilibrium & Center of Gravity	Rotational Motion and Equilibrium
12	Archimedes' Principle: Buoyancy and Density	Fluids
13	Specific Heats of Metals	Thermal Properties of Matter
15	Standing Waves in a String	Waves and Sound

Key Concepts and Definitions

Measurement and Uncertainty

• Measurement: The process of obtaining the magnitude of a quantity relative to a standard.

• Uncertainty: The doubt that exists about the result of any measurement.

• Significant Figures: Digits in a measurement that are known with certainty plus one that is estimated.

• Example: Measuring the length of a rod with a ruler marked in millimeters gives a result with an uncertainty of ±0.5 mm.

Motion in One and Two Dimensions

• Displacement (\( \Delta x \)): The change in position of an object.

• Velocity (\( v \)): The rate of change of displacement with time.

• Acceleration (\( a \)): The rate of change of velocity with time.

• Equations of Motion (Constant Acceleration):

$\Delta x = v_0 t + \frac{1}{2} a t^2$

$v = v_0 + a t$

• Projectile Motion: The motion of an object thrown or projected into the air, subject only to acceleration due to gravity.

• Example: A ball thrown horizontally from a table follows a parabolic path.

Vectors and Forces

• Vector Addition: Combining vectors using the head-to-tail method or by resolving into components.

• Force Table: An apparatus used to demonstrate vector addition of forces in equilibrium.

• Newton's Laws of Motion:

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

  • Second Law: $F = m a$

  • Third Law: For every action, there is an equal and opposite reaction.

• Example: Using a force table to balance three forces so their vector sum is zero.

Work, Energy, and Power

• Work (\( W \)): The product of force and displacement in the direction of the force.

• Equation:

$W = F d \cos \theta$

• Kinetic Energy (\( KE \)): $KE = \frac{1}{2} m v^2$

• Potential Energy (\( PE \)): $PE = m g h$

• Conservation of Energy: The total mechanical energy (kinetic + potential) in a system remains constant if only conservative forces act.

• Example: Calculating the work done by gravity as a ball falls from a height.

Momentum and Collisions

• Linear Momentum (\( p \)): $p = m v$

• Conservation of Momentum: In a closed system, the total momentum before a collision equals the total momentum after.

• Impulse (\( J \)): $J = F \Delta t = \Delta p$

• Example: Two carts colliding on a track and measuring their velocities before and after the collision.

Rotational Motion and Equilibrium

• Torque (\( \tau \)): $\tau = r F \sin \theta$

• Equilibrium: An object is in equilibrium if the net force and net torque on it are zero.

• Center of Gravity: The point at which the total weight of a body is considered to act.

• Example: Balancing a meter stick on a fulcrum to find its center of gravity.

Circular Motion and Gravitation

• Centripetal Force: The net force required to keep an object moving in a circle of radius \( r \) at speed \( v \).

• Equation:

$F_c = \frac{m v^2}{r}$

• Example: Calculating the tension in a string when swinging a mass in a horizontal circle.

Fluids and Buoyancy

• Archimedes' Principle: A body immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced.

• Buoyant Force (\( F_b \)): $F_b = \rho_{fluid} V_{displaced} g$

• Example: Determining the density of an object by measuring its apparent weight in water.

Thermal Properties of Matter

• Specific Heat (\( c \)): The amount of heat required to raise the temperature of 1 kg of a substance by 1°C.

• Equation:

$Q = m c \Delta T$

• Example: Measuring the specific heat of a metal by calorimetry.

Waves and Sound

• Standing Waves: Waves that remain in a constant position, typically formed by the interference of two traveling waves moving in opposite directions.

• Wave Equation:

$v = f \lambda$

• Example: Determining the frequency of standing waves on a string fixed at both ends.

Grading and Evaluation

• Each lab consists of a pre-lab quiz (15%) and a lab report (85%).

• Lab reports are completed in groups, but individual calculations must be shown.

• Lowest lab and pre-lab grades are dropped; the lab final is mandatory and not dropped.

• Grading scale: A (90-100), B (80-89), C (70-79), D (60-69), F (0-59).

Student Learning Outcomes

• Analyze and solve problems involving motion, forces, energy, momentum, rotation, waves, fluids, and thermodynamics.

• Demonstrate laboratory skills: experiment setup, data collection, analysis, and reporting.

• Apply the scientific method and critical thinking to physical problems.

Course Policies and Expectations

• Attendance is mandatory for all lab sessions; missed labs cannot be made up except in documented emergencies.

• Academic integrity is strictly enforced; use of generative AI for assignments is prohibited.

• Assignments must be submitted on time; late work is not accepted.

• Respectful and professional behavior is expected at all times.

Example Applications

• Projectile Motion: Calculating the range and maximum height of a ball launched at an angle.

• Conservation of Momentum: Analyzing collisions between carts on an air track.

• Buoyancy: Measuring the density of an unknown solid using Archimedes' Principle.

• Standing Waves: Determining the speed of waves on a string by measuring resonant frequencies.

Additional info: This syllabus aligns with the standard topics in a college-level algebra-based physics course, covering the foundational chapters listed in the provided reference list.