Name: Simple Harmonic Motion (16 of 16): Equations, Example Problems @stepbystepscience
Uploaded: 2026-09-19T08:17:00-05:00
Duration: 8 min 17 s
Description: Simple Harmonic Motion (16 of 16): Equations, Example Problems

Simple Harmonic Motion (16 of 16): Equations, Example Problems

Step by Step Science 2026-09-19 | Simple Harmonic Motion (16 of 16): Equations, Example Problems

Drawing Ellipses for the Keplers Laws Ellipse Lab

Step by Step Science 2024-06-21 | This video demonstrates the set up for drawing the ellipses for the Kepler's laws ellipse lab. Although this video can be used to support most ellipse labs it is designed specifically to be used with the Kepler's Laws Ellipse Lab available from our Teachers Pay Teachers Store. Link below.

Kepler's Laws Ellipse Lab: tinyurl.com/bd65mys2

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Step by Step Science - Physics, chemistry and math all clearly explained step by step.

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Chapters:
0:00 Introduction
0:22 Materials
0:59 Set up
2:35 Drawing ellipse No. 1
3:25 Drawing ellipse No. 2

Working hard, Archimedes Wheel Jahrtausendturm ElbauenPark #archimedesprinciple #jahrtausendturm

Step by Step Science 2024-05-20 | ...

Make a Rubber Band Powered Car: Quick and EasyStep by Step Science

Step by Step Science 2024-04-06 | This video gives a step by step presentation of how to make a rubber band powered car. Whether you are doing this at home for fun or in an educational setting, this project is perfect for people of all ages. Besides having fun, you will also gain valuable insights into the principles of conservation of energy, work, potential and kinetic energy.

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Step by Step Science - Physics, chemistry and math all clearly explained step by step.

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Music: Positive Thinking by Vlad Gluschenko is licensed under a Creative Commons License.
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Chapters:
0:00 Introduction
0:07 Wheels
0:19 Body
0:47 Assembly
2:00 Front Clip
2:10 Race

The Electroscope, Charge Separation and the Positively Charged Stick

Step by Step Science 2023-10-22 | This video explains why the pointer of the electroscope moves when a positively charged object is brought close to the metal plate at the top of the electroscope.

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Step by Step Science - Physics, chemistry and math all clearly explained step by step.

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Chapters:
0:00 Introduction
0:35 Demonstration
2:44 Case No. 1
4:35 Case No. 2
6:55 Case No. 3
7:41 Case No. 4

🤨 Can you answer this question? 🥴 #pulleys #simplemachines #physics #physicsfundamentals

Step by Step Science 2023-10-08 | ...

Wave Math; Calculating Period, Frequency, Wavelength & Velocity

Step by Step Science 2023-09-30 | This video goes over example problems for calculating the period and frequency for pendulums and masses oscillating on a spring as well as how to use the wave equation to calculate the speed, frequency and wavelength of sound, light and water waves.

Step by Step Science - Physics, chemistry and math all clearly explained step by step.

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Chapters:
0:00 Wave Math
Pendulum Calculations
Wave Equation
Oscillating Masses

Can You Name the Elements? #flametest #physicsfun #quantumphysics

Step by Step Science 2023-09-23 | ...

The Electroscope, Charge Separation and the Negatively Charged Stick

Step by Step Science 2023-09-16 | How an Electroscope Works, Charge Separation and the Negatively Charged Stick
This video explains why the pointer moves when a negatively charged stick is brought close to the metal plate at the top of the electroscope.

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Step by Step Science - Physics, chemistry and math all clearly explained step by step.

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Chapters:
0:00 Introduction
0:30 Demonstration
3:45 Case No. 1
4:55 Case No. 2
7:05 Case No. 3
7:55 Case No. 4

Physics Magic with the Electroscope #shorts #electroscope #electriccharge #physicsfun

Step by Step Science 2023-09-07 | Physics, chemistry and math all clearly explained step by step.

⚡️Electromagnetism, DC Motor Demonstration⚡️

Step by Step Science 2023-08-30 | Demonstration of a simple DC motor, shows the concepts of electromagnetism and the Lorentz force.

🚴‍♂️After Work Ride, Berlin Gravel Club, Ostbahnhof nach Müggelheim😃#gravelbike #berlingermany

Step by Step Science 2023-08-23 | ...

🥸Colorful Convection Currents😳#shorts #convectioncurrents

Step by Step Science 2023-08-21 | ...

Beautiful Density

Step by Step Science 2023-08-16 | Why does on mix but the other does not?

Snell’s Law with PhET Interactive Simulations

Step by Step Science 2023-08-13 | In this video we will explain Snell’s law using the Bending Light simulation from PhET Interactive Simulation. We start with a review of refraction, the we present a qualitative explanation of Snell’s law. Finally, we will work through two example problems for calculating the index of refraction and the angle of refraction.

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Step by step Science - Physics, chemistry and math all clearly explained step by step.

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Chapters:
0:00 Snell’s Law
0:43 Review Refraction
2:55 Simulation Explanation
10:35 Calculate Index of Refraction
Calculate Angle of Refraction

Optics: Real and Apparent Depth

Step by Step Science 2023-08-06 | In this video we will explain the concept of apparent depth, refraction of light and why things aren’t always where you think they are.

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Chapters:
0:00 Apparent Depth
0:25 Explanation Ex & No. 1
5:25 Example No. 2
8:00 Example No. 3

Refraction of Light with PhET Interactive Simulations

Step by Step Science 2023-07-30 | In this video we will explain the refraction of light using one of the excellent simulation from PhET interactive simulations. The simulation is entitled Bending Light. In part one we will review the basics of the refraction of light before presenting a detailed explain why a ray of light bends or does not bend when it crosses the boundary between two different materials. In the second part of the video we will determine the index fraction of Mystery Material A.

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Chapters:
0:00 Refraction of Light
0:43 Introduction
2:55 PhET Bending Light Simulation
10:35 Index of Refraction

Conservation of Mechanical Energy with PhET Interactive Simulations

Step by Step Science 2023-07-23 | In this video we will explain conservation of mechanical energy using one of the excellent simulation from PhET interactive simulations. The simulation is entitled Energy Skate Park Basics. We will review kinetic energy, potential energy, total mechanical energy and conservation of energy before presenting a detailed explain of how mechanical energy is conserved in a closed system. At the end of the video we will go over three examples for calculating the energy of the skater at various point in the track.

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Chapters:
0:00 Energy Skate Park Basics
0:35 Kinetic Energy
1:30 Potential Energy
2:55 Conservation of Energy
3:50 Simulation Explanation
10:40 Example No. 1
12:20 Example No. 2
13:05 Example No. 3

Buoyancy: Floating Objects Example Problems No. 2

Step by Step Science 2023-06-11 | In this video you will learn why objects float, how to use the buoyant force and archimedes’ principle to solve problems involving floating object and how to determine the percentage of the object that is beneath the surface of the fluid.

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Buoyancy: Floating Objects Example Problems No. 1

Step by Step Science 2023-04-30 | Buoyancy and Archimedes’ Principle: Example Problems
In this video you will learn why objects float, how to use the buoyant force and archimedes’ principle to solve problems involving floating object and how to determine the percentage of the object that is beneath the surface of the fluid.

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Buoyancy; Floating and Sinking

Step by Step Science 2023-04-09 | Instead of density this video will explain how to use buoyancy and the buoyant force to determine whether an object will float or sink in a fluid. This is done by comparing the weight of the object to the buoyant force from the fluid. The buoyant force is the upward force exerted by a fluid that opposes the weight of an object that is partially or fully submerged in the fluid.

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Buoyancy and the Weather Balloon Problem

Step by Step Science 2023-03-12 | This video shows you how two solve two different weather balloon problems using buoyancy, buoyant force and Newton's second law of motion. In the first problem we will solve for the size of a helium filled weather balloon needed to lift a know mass. In the second problem we will solve for the mass that can be lifted by a balloon of known size.

Physics, chemistry and math all clearly explained step by step.

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Chapters
0:00 Buoyancy
0:35 Example No. 1
6:45 Example No. 2

Buoyancy and Archimedes’ Principle: Example Problems

Step by Step Science 2023-02-25 | This video goes over five example problems using buoyancy and Archimedes’ principle. This cover an important physics and fluid mechanicsprinciple and provides a basic introduction into solving problems using archimedes principle and buoyancy.

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Chapters:
00:00 Buoyancy
0:30 Example 1
3:35 Example 2
5:50 Example 3
7:15 Example 4
9:35 Example 5

Buoyancy and Archimedes’ Principle: An Explanation

Step by Step Science 2023-02-05 | This video explains the buoyant force and archimedes’principle. I will also show you how to derive the equations for the buoyant force and archimedes’ principle. This is a very important principle in physics for object that float and sink in a fluid.

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Chapters
0:00 Buoyancy & Archimedes' Principle
0:30 What is Buoyancy?
2:30 Equation for Buoyant Force
5:50 Archimedes Principle
8:00 Example Problem

Using Dimensional Analysis to Find the Units of a Constant

Step by Step Science 2022-05-25 | This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool that can lead to a better understanding of physics concepts.

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Chapters
Introduction
Example No. 1
Example No. 2
Example No. 3
Example No. 4
Example No. 5
Example No. 6

Dimensional Analysis Part 2, Unit Conversions

Step by Step Science 2022-05-14 | This video focuses on dimensional analysis and unit conversions such as converting from kilometers per second to meters per second. Dimensional analysis in Physics is an important tool that can lead to a better understanding of physics concepts.

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Chapters
0:00 Introduction
1:00 Example No. 1
4:08 Example No. 2
5:40 Example No. 3
7:50 Example No. 4
9:30 Example No. 5
11:02 Example No. 6

Dimensional Analysis Part 1, Units for Answers

Step by Step Science 2022-05-09 | This video focuses on dimensional analysis and its use in physics equations. How do equations work out so that we have the correct units at the end. Dimensional analysis in Physics is an important tool that can lead to a better understanding of physics concepts.

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Chapters
0:00 Introduction
0:50 Example No. 1
2:50 Example No. 2 Newton
4:10 Example No. 3 Joule
6:50 Example No. 4 Newton
8:20 Example No. 5
9:10 Example No. 6
9:45 Example No. 7 seconds
11:10 Example No. 8 seconds

Magnetism: Superposition of Magnetic Fields, Example No. 2

Step by Step Science 2022-05-01 | This video shows you how to calculate the total magnetic field from two current carrying wires at a point adjacent to the two wires. Worked examples are given for two different cases. One where the current is flowing in the same direction in the two wires and one where the current is flowing in opposite directions through the wires.

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Chapters
0:00 introduction
0:50 current in same direction
7:45 current in opposite directions

Magnetism: Superposition of Magnetic Fields, Example No. 1

Step by Step Science 2022-04-23 | This video show you how to calculate the total magnetic field from two current carrying wires at a point between the two wires. Worked examples are given for two different cases. One where the current is flowing in the same direction in the two wires and one where the current is flowing in opposite directions through the wires.

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Step by Step Science: physics, chemistry and math all clearly explained step by step.

Chapters
0:00 current carrying wire
1:00 introduction
1:40 current in same direction
6:50 current in opposite directions

Making YOU the Scientist: Heat Transfer and Convection Lab

Step by Step Science 2022-04-19 | This is a great lab activity for introducing the important topics of heat transfer and convection. It can also be used as a starting point for talking about the other two types of heat transfer: conduction and radiation.

This lab investigates heat transfer through convection and molecular motion by adding food coloring to three glasses that contain water at different temperatures. By observing the rate at which the food coloring diffuses through the water you can infer the relative particle motion and therefore the temperature of the water in each of the glasses.

You can do this lab in almost any setting: in the classroom, during home schooling, as an online learning demonstration or just a fun thing to do with the kids on the weekend. Kids love working with water and food coloring and the results of the experiment can be seen in just a few minutes. My middle school students always enjoy this activity. You probably have everything you need at school or around the house: a few glasses, water and some food coloring.

A complete write up for this lab activity including full a page of notes for convection, conduction. and radiation is available from our Teachers Pay Teacher store.

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Temperature Conversions: Kelvin, Celsius and Fahrenheit

Step by Step Science 2022-03-08 | For chemistry and physics this video shows you how to convert between Kelvin, degrees Celsius and degrees Fahrenheit. Also includes several useful examples and at the end of the video we show you a useful rule of thumb for converting between Celsius and Fahrenheit.

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Chapters
00:00 Temperature Conversion
0: 40 Three Equations
01:38 Example 1
02:13 Example 2
02:48 Example 3
03:22 Example 4
04:00 Example 5
04:55 Celsius to Fahrenheit Trick

Inductors and Inductance: An Explanation

Step by Step Science 2022-02-27 | This video explains what an inductor is, how to calculate its inductance and how to calculate the self-induced voltage.

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Chapters:
0:00 inductors and Inductance
0: 40 What is an Inductor?
03:10 Derivation of Equations
07:12 Compare
08:30 What is a Henry?
09:32 Example 1
10:43 Example 2
11:45 Example 3

Newton’s Universal Gravitation vs Coulomb’s Law

Step by Step Science 2022-02-20 | This video explains the differences and similarities between Newton’s Universal Law of Gravitation and Coulomb’s Law for electrostatic forces. Newton’s Universal Law of Gravitation is used to calculate the magnitude of the force of attraction between two objects that have mass and Coulomb’s Law is used to calculate the magnitude of the force of attraction or repulsion between charged objects.

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Chapters:
0:00 Newton vs Coulomb
0:55 Newton’s Law
1:45 Coulomb’s Law
2:35 Similarities
4:05 Differences
4:45 The Constants
6:55 Newton Example
8:50 Coulomb Example

Fluids & Pascals Principle with PhET Simulations

Step by Step Science 2022-02-13 | This video uses the Under Pressure HTML5 online simulation from PhET Interactive Simulations to investigate Pascal’s principle. We will use the four windows of the simulation to look at the relationship between pressure and depth, the relationship between pressure and the shape of the container, to define Pascal’s principle and to the determine the density of the mystery fluid and the gravity of the mystery planet.

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Chapters:
00:00 Introduction
1:05 What is Pressure?
5:20 Pressure vs. Depth
9:04 Pressure vs Shape of the Container
11:35 Pascal’s Principle
14:55 Mystery Density
18:05 Mystery Gravity

Capacitors (10 of 10) Changing Plate Area and Separation with PhET Simulations

Step by Step Science 2022-02-06 | This video uses the Capacitance HTML5 online simulation from PhET Interactive Simulations to take a detailed look at how changing the plate area and plate separation affects the capacitance of the capacitor, the amount of stored charge, the potential difference across the plates and the electric field strength. This will be done for when the capacitor remains connected to the battery and when the capacitor is disconnected from the battery. At the end of the video we will look at what happens when the capacitor is discharged through a light bulb.

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Chapters:
00:00 Introduction
2:10 Increase Voltage
4:00 Increase Plate Separation with Battery
5:40 Increase Plate Area with Battery
7:15 Increase Plate Separation without Battery
9:30 Increase Plate Area without Battery
11:25 Discharging Capacitor

Combination Circuits: Comparing Currents and Voltages

Step by Step Science 2022-01-01 | In this video we will compare the current at different point and the voltages drops across circuit elements in two different combination circuits. This will be done in a qualitative manner with a minimum amount of math. You should be able to answer these questions using your conceptual understanding of series and parallel resistive circuits.

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Chapters:
00:00 Introduction
00: 25 Circuits No. 1 Currents
6:55 Circuits No. 1 Voltage Drops
12:00 Circuits No. 2 Currents
15:30 Circuits No. 2 Voltage Drops

Combination Circuits: Calculating Currents and Voltages

Step by Step Science 2022-01-01 | In this video we will calculate the current and voltage drops for two different combination circuits.

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Chapters:
00:00 Introduction
0:45 Combination Circuit No. 1
8:00 Combination Circuit No. 2

Uniform Electric Fields: an Explanation

Step by Step Science 2021-12-18 | This video goes gives a detailed explanation of electric fields for parallel charged plates. Also included are five worked examples. The examples problems show you how to calculate the electric field strength and direction, the force on a charged particle and the charge on the particle.

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Chapters:
00:00 Introduction
0:45 Electric Field Explanation
4:55 Example No. 1
6:05 Example No. 2
7:25 Example No. 3
8:00 Example No. 4
8:51Example No. 5

Conservation of Mechanical Energy: Example Problems

Step by Step Science 2021-12-05 | This conservation of mechanical energy physics video works through two example problems to show you how to use conservation of energy to determine the potential energy, the kinetic energy, total mechanical energy and the height and velocity of an object as it moves along its path.

Because there are no nonconservative forces such as friction the total mechanical energy of the objects always remains the same. In both examples there is a continuous conversion of potential energy into kinetic energy and then back again.

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Chapters:
00:00 The Basics
00:45 Ramp Example
10:17 Roller Coaster Example

Uniform Electric Fields: Electric Potential Energy & Potential Difference

Step by Step Science 2021-11-28 | This video goes over an explanation of electric potential energy and electric potential difference for uniform electric fields between charged parallel charged. Also included are two useful worked examples.

The examples problems show you how to calculate the change in electric potential energy of a charged particle, the amount of work done on the particle and how to use conservation of energy to determine the velocity of the charged. Also included is how to determine the potential difference between the charged plates.

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Chapters:
0:45 Electric Potential Energy
06:40 Electric Potential Difference
11:00 Example No. 1
14:10 Example No. 2

Uniform Electric Field: Work Done to Move a Charge Through the Field

Step by Step Science 2021-11-26 | Physics, chemistry and math all clearly explained step by step.This video shows you how to calculate the work done by an external force and the work done by the electric field to move a charged particle through the uniform electric field between two parallel charged plates.

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Chapters:
0:45 Example No. 1
06:15 Example No. 2
07:05 Example No. 3
08:30 Example No. 4
11:55 Example No. 5
13:40 Example No. 6

Conservation of Mechanical Energy: An Explanation

Step by Step Science 2021-11-21 | This conservation of mechanical energy physics video goes over a comparison of the potential and kinetic energy of an object as it moves along two different paths. In the first case we investigate a ball rolling down a ramp. The second case looks at the example of a roller coaster car as it moves along the coaster track.

In both cases there is a continuous conversion of potential energy into kinetic energy and then back again. Because there are no nonconservative forces such as friction the total mechanical energy of the object always remains the same

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Chapters:
00:00 The Basics
0:55 Ramp Example
06:35 Roller Coaster Example

Mass, Weight, Energy Work and Power: The Basics

Step by Step Science 2021-11-07 | This video goes over an introduction to the important physics topics of: mass, weight, energy, work and power. For each topic the video explains the definition, the equation symbol, the metric unit and the abbreviation for the metric unit. The video also goes over the equations that are used to calculate the weight, energy, work and power.

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Chapters:
00:00 The Basics
01:00 Mass
03:10 Weight
6:10 Potential Energy
09:05 Kinetic Energy
11:10 Work
14:00 Power

Mass Spectrometer: An Example Problem

Step by Step Science 2021-11-02 | Physics, chemistry and math all clearly explained step by step.This video goes through a detailed example problem of how a mass spectrometer is used to determine the mass of the naturally occurring isotopes of chlorine. It breaks down all three of it component: the ion source, the velocity selector and the separation detector. A mass spectrometer is used to separate atoms based on their atoms masses.

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Chapters:
00:00 Mass Spectometer
1:00 Introduction
03:45 Velocity Selector
09:15 Detector
12:45 Mass Number

Mass Spectometer: An Explanation

Step by Step Science 2021-10-23 | This video goes through a detailed explanation of how a Bainbridge mass spectrometer work. It breaks down all three of the component: the ion source/accelerator, the velocity selector and the separation detector. A Bainbridge mass spectrometer is used to separate atoms based on their atoms masses.

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Chapters:
00:00 Mass Spectometer
0:45 Introduction
1:45 Ion Source/Accelerator
5:05 Velocity Selector
8:45 Detector

Calculating Power in Physics: Example Problems

Step by Step Science 2021-10-16 | Many tasks require you to do a certain amount of work. But the same amount of work can be done in a short period of time or over a longer period of time. Power describes how fast work is done. Power is the rate at which work is done. This video explains everything you need to know about what power is in physics and how to calculate the power exerted. Five different example problems will show you how to calculate the power output, the amount of work done and the time it take for a given power output. Everything is explained step by step.

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Chapters:
00:00 Power: Example Problems
1:00 Introduction
3:41 Example No. 1
4:25 Example No. 2
5:45 Example No. 3
6:55 Example No. 4
9:20 Example No. 5

Calculating Work in Physics: Example Problems

Step by Step Science 2021-10-09 | What is work in physics? We all do lots of work: homework, working on projects or working at a job. But in physics work has a very specific meaning. This video explains everything you need to know about how and when work is done in physics. Also explained is the relationahip between work and energy. Five different example problems will show you how to calcualte the work done on an object by a force, the distance the force is applied and the force needed to do a given amount of work. Everything is explained step by step.

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Chapters:
00:00 Work: Example Problems
0:45 Introduction
4:10 Example No. 1
5:00 Example No. 2
6:15 Example No. 3
7:25 Example No. 4
10:20 Example No. 5

Converting Between Mass and Weight: Example Problems

Step by Step Science 2021-10-06 | Are mass and weight the same thing? This video explains the difference between mass and weight. This video also has four different example problems for how to convert between mass and weight and how to determine the acceleration due to gravity.

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Chapters:
00:00 Mass and Weight
0:40 Introduction
6:15 Example No. 1
7:20 Example No. 2
8:35 Example No. 3
9:55 Example No. 4
Example No. 4

Rotational Motion: Kinematic Equations, Example Problems

Step by Step Science 2021-09-26 | This video explains how to solve rotational kinematics physics problems. The rotational motion problems in this video include using the four kinematic equations to solve for angular velocity, angular acceleration and angular displacement.

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Chapters:
00:00 Rotational Kinematics
00:40 Introduction
3:20 Example No. 1
4:45 Example No. 2
7:20 Example No. 3
9:25 Example No. 4
11:55 Example No. 5
14:00 Example No. 6
15:40 Example No. 7
17:25 Example No. 8

Think Inside the Tube: A Science Inquiry Demonstration

Step by Step Science 2021-09-12 | Thinking Inside the Tube is a great demonstration because it challenges students to come up with an explanation for what is going on inside the tube based on experimental observations. This engaging demonstration will surely get your students' attention. Have Fun.

Coming out of the tube are four strings, each with a washer attached to it. When one string is pulled another string gets shorter, but not always the one that is expected to change. This is a useful demonstration for learning about scientific inquiry and devising models to explain experimental observations.

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Chapters:
00:00 Introduction
1:35 Experiment No. 1
3:45 Experiment No. 2
6:15 Experiment No. 3

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Five Fun and Easy Physics Challenges

Step by Step Science 2021-09-05 | One of my favourite things about being a physics teacher is doing demonstrations and experiments with my students. Why start a lesson with a lecture when you can arouse your students' curiosity by bringing scientific principles to life right before their eyes? This video shows you how to do five fun and easy physics challenges that you can use to get your student involved in learning.

The topics included in these challenges include: friction, the adhesive and cohesive properties of water, rotational motion, center of mass and Newton’s laws of motion.

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Chapters:
00:00 Introduction
00:25 No. 1 – Lift Bottle of Rice with a Skewer
1:53 No. 2 – Pour Water Down a String
3:47 No. 3 – Get the Marble into the Glass
4:37 No. 4 – Find the Center of Mass
6:20 No. 5 – Get the Marker into the Tube