Interactive Physics & Astronomy Lab

Instructor: Dr. Zoulfekar Mazloum

School: Madonna University

Welcome to the Physics Lab

Select a laboratory module to begin your interactive physics experiments:

Lab Progress

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Kepler's Laws of Planetary Motion

Interactive exploration of elliptical orbits, equal areas law, and harmonic relationships

Not Started

Electromagnetic Fields & Induction

Advanced electromagnetic field analysis, Faraday's law, and electromagnetic induction experiments

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Advanced Momentum Analysis

Multi-body collision systems, angular momentum, and conservation laws in complex scenarios

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Wave Phenomena & Acoustics

Complex wave interference, standing waves, Doppler effect, and acoustic wave analysis

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Thermodynamics & Energy Systems

Heat engines, entropy, energy conversion efficiency, and thermodynamic cycle analysis

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Electromagnetic Fields & Induction Lab

Progress: 0/5

Multi-Charge Electric Field Analysis

Charge Configuration

Magnetic Field & Lorentz Force

Electromagnetic Induction

Lab Questions & Analysis

Question 1: Electric Field Analysis

Calculate the electric field strength at point P(300, 250) due to the three-charge system. Show your work.

Question 2: Magnetic Force Direction

A charged particle enters a magnetic field. Explain the relationship between the particle's velocity, magnetic field direction, and resulting force using the right-hand rule.

Question 3: Faraday's Law Application

If a magnetic field changes from 2T to 0T in 0.5 seconds through a 20-turn coil with area 500 cm², calculate the induced EMF.

Question 4: Field Line Interpretation

Describe what happens to electric field lines when like charges are brought closer together.

Question 5: Energy Conservation

In electromagnetic induction, what is the source of the induced EMF energy?

Momentum & Collisions Lab

Collision Simulation

Calculations

Initial Momentum: 0 kg⋅m/s

Final Momentum: 0 kg⋅m/s

Momentum Conservation: Perfect

Wave Physics Lab

Wave Interference

Wave Properties

Combined Wave shows interference patterns

Constructive interference occurs when waves align

Destructive interference occurs when waves cancel

Energy & Work Lab

Pendulum Energy

Energy Analysis

Potential Energy: 0 J

Kinetic Energy: 0 J

Total Energy: 0 J

Kepler's Laws of Planetary Motion

Progress: 0/3

First Law: Planets move in elliptical orbits with the Sun at one focus

Orbital Parameters

Real-time Orbital Data

Current Distance: 1.50 AU

Current Velocity: 30.0 km/s

True Anomaly: 0.0°

Semi-minor Axis: 1.43 AU

First Law Question

Question 1: What shape do planets follow in their orbits around the Sun?

Question 2 (Calculation): A planet has a semi-major axis of 3.0 AU and an eccentricity of 0.4. Calculate the aphelion distance (farthest point from Sun).

Formula: Aphelion = a(1 + e), where a = semi-major axis, e = eccentricity

AU

Second Law: A line from the Sun to a planet sweeps equal areas in equal times

Area Sweep Parameters

Area Measurements

Perihelion Area: 0.0000 AU²

Aphelion Area: 0.0000 AU²

Area Ratio: 1.000

Perihelion Speed: 35.0 km/s

Aphelion Speed: 15.0 km/s

Second Law Question

Question 1: According to Kepler's Second Law, when is a planet moving fastest in its orbit?

Question 2 (Calculation): A planet at perihelion (closest point) is 2.0 AU from the Sun and moving at 35 km/s. Using conservation of angular momentum, what is its speed at aphelion if the aphelion distance is 6.0 AU?

Formula: r₁v₁ = r₂v₂ (conservation of angular momentum)

km/s

Third Law: The square of orbital period is proportional to the cube of semi-major axis

Planet System Parameters

Planet 1 (Red)
Planet 2 (Green)
Planet 3 (Blue)

Kepler's Third Law Verification

Planet 1: Period = 1.000, T²/a³ = 1.000000
Planet 2: Period = 3.953, T²/a³ = 1.000000
Planet 3: Period = 11.180, T²/a³ = 1.000000

Third Law Question

Question 1: If Planet A has a semi-major axis of 4 AU and Planet B has 1 AU, how many times longer is Planet A's orbital period?

Question 2 (Calculation): A planet has a semi-major axis of 2.5 AU. Calculate its orbital period using Kepler's Third Law.

Formula: T² = a³ (where T is in years and a is in AU)

years