DuckieDai Gravitational Potential Energy Python Program

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physics · MIT License

Overview

Solve near-Earth gravitational potential energy, mass, or height from PE = m*g*h using g = 9.8 m/s^2.

Usage

Inputs

Requested unknown: potential energy, mass, or height
Two known values using kilograms, metres, and joules

Outputs

Requested quantity using PE = m*g*h

Units: Mass uses kilograms, height uses metres, and energy uses joules.

Assumptions and limitations

Assumptions

Gravitational field strength is fixed at 9.8 m/s^2 and height is measured from the chosen zero level.

Constraints

Mass and divisors must be positive; height and potential energy may be zero where offered.

Known failures

The fixed value of g is not suitable when local gravitational field strength differs materially.

Compatibility and review

Review status: Tested on a TI calculator
Tested on: TI-84 Plus CE Python; OS 5.8.3; Python App 5.8.3.0048; exact paginated .py transferred through TI Connect CE into RAM and tested individually
What happened: Passed: branded intro, paginated potential energy menu, calculation workflow, and answer screen ran on the physical calculator
Dependencies: No imports
Suggested calculator name: GRAVPE — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

Browser preview

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Simulation boundary: This preview uses a reviewed browser adapter. It does not execute the downloaded Python and does not prove TI-Python or calculator compatibility.

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Exact reviewed bytes

Source code

Download .py

View source below, copy it when JavaScript is available, or download the exact .py bytes.

"""DuckieDai Potential Energy for TI-84 Plus CE Python."""


def duckiedai_intro(program_name, wait=True):
    """Show the reusable DuckieDai program opening."""
    title = program_name[:16]
    empty = 16 - len(title)
    left = empty // 2
    right = empty - left

    print("+----------------------+")
    print("|   " + " " * left + title + " " * right + "   |")
    print("|                      |")
    print("|       __             |")
    print("|   ___(o )>  quack!   |")
    print("|   \\ <_. )           |")
    print("|    `---'             |")
    print("|     by DuckieDai     |")
    print("+----------------------+")
    print("Loading...")

    if wait:
        input("Press enter to start ")
        print("\n" * 6)


def positive_number(prompt):
    """Ask until a positive finite number is entered."""
    while True:
        try:
            value = float(input(prompt))

            if value > 0 and value < 1e100:
                return value

        except ValueError:
            pass

        print("Enter a number above 0.")


def nonnegative_number(prompt):
    """Allow zero or positive values."""
    while True:
        try:
            value = float(input(prompt))

            if value >= 0 and value < 1e100:
                return value

        except ValueError:
            pass

        print("Enter 0 or greater.")


def show_answer(name, value, unit):
    input("Press enter for answer ")
    print("\n" * 6)
    print("ANSWER")
    print(name + " = " + str(value))
    print(unit)


def main():
    duckiedai_intro("POTENTIAL ENERGY")

    g = 9.8

    print("GRAVITATIONAL PE")
    print()
    print("Formula: PE = m*g*h")
    print("Using g = 9.8 m/s^2")
    input("Press enter for menu ")
    print("\n" * 6)
    print()
    print("What do you need?")
    print()
    print("1. Potential Energy")
    print("2. Mass")
    print("3. Height")
    print()

    choice = input("Choose 1-3: ")

    print()

    # ==========================================
    # 1. SOLVE POTENTIAL ENERGY
    # PE = m*g*h
    # ==========================================

    if choice == "1":

        mass = positive_number("Mass (kg): ")
        height = nonnegative_number("Height (m): ")

        pe = mass * g * height

        print()
        print("Using:")
        print("PE = m*g*h")
        print()
        print("PE = " + str(mass))
        print("x " + str(g))
        print("x " + str(height))

        show_answer(
            "PE",
            pe,
            "joules"
        )

    # ==========================================
    # 2. SOLVE MASS
    # m = PE / (g*h)
    # ==========================================

    elif choice == "2":

        pe = nonnegative_number("PE (J): ")
        height = positive_number("Height (m): ")

        mass = pe / (g * height)

        print()
        print("Using:")
        print("PE = m*g*h")
        print()
        print("Rearranged:")
        print("m = PE/(g*h)")

        show_answer(
            "m",
            mass,
            "kg"
        )

    # ==========================================
    # 3. SOLVE HEIGHT
    # h = PE / (m*g)
    # ==========================================

    elif choice == "3":

        pe = nonnegative_number("PE (J): ")
        mass = positive_number("Mass (kg): ")

        height = pe / (mass * g)

        print()
        print("Using:")
        print("PE = m*g*h")
        print()
        print("Rearranged:")
        print("h = PE/(m*g)")

        show_answer(
            "h",
            height,
            "meters"
        )

    else:
        print("Invalid choice.")

    print()
    print("DuckieDai says: done!")


# TI-Python imports the selected AppVar rather than
# setting __name__ to main.
main()

"""DuckieDai Potential Energy for TI-84 Plus CE Python."""
def duckiedai_intro(program_name, wait=True):
"""Show the reusable DuckieDai program opening."""
title = program_name[:16]
empty = 16 - len(title)
left = empty // 2
right = empty - left
print("+----------------------+")
print("| " + " " * left + title + " " * right + " |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("+----------------------+")
print("Loading...")
if wait:
input("Press enter to start ")
print("\n" * 6)
def positive_number(prompt):
"""Ask until a positive finite number is entered."""
while True:
try:
value = float(input(prompt))
if value > 0 and value < 1e100:
return value
except ValueError:
pass
print("Enter a number above 0.")
def nonnegative_number(prompt):
"""Allow zero or positive values."""
while True:
try:
value = float(input(prompt))
if value >= 0 and value < 1e100:
return value
except ValueError:
pass
print("Enter 0 or greater.")
def show_answer(name, value, unit):
input("Press enter for answer ")
print("\n" * 6)
print("ANSWER")
print(name + " = " + str(value))
print(unit)
def main():
duckiedai_intro("POTENTIAL ENERGY")
g = 9.8
print("GRAVITATIONAL PE")
print()
print("Formula: PE = m*g*h")
print("Using g = 9.8 m/s^2")
input("Press enter for menu ")
print("\n" * 6)
print()
print("What do you need?")
print()
print("1. Potential Energy")
print("2. Mass")
print("3. Height")
print()
choice = input("Choose 1-3: ")
print()
# ==========================================
# 1. SOLVE POTENTIAL ENERGY
# PE = m*g*h
# ==========================================
if choice == "1":
mass = positive_number("Mass (kg): ")
height = nonnegative_number("Height (m): ")
pe = mass * g * height
print()
print("Using:")
print("PE = m*g*h")
print()
print("PE = " + str(mass))
print("x " + str(g))
print("x " + str(height))
show_answer(
"PE",
pe,
"joules"
)
# ==========================================
# 2. SOLVE MASS
# m = PE / (g*h)
# ==========================================
elif choice == "2":
pe = nonnegative_number("PE (J): ")
height = positive_number("Height (m): ")
mass = pe / (g * height)
print()
print("Using:")
print("PE = m*g*h")
print()
print("Rearranged:")
print("m = PE/(g*h)")
show_answer(
"m",
mass,
"kg"
)
# ==========================================
# 3. SOLVE HEIGHT
# h = PE / (m*g)
# ==========================================
elif choice == "3":
pe = nonnegative_number("PE (J): ")
mass = positive_number("Mass (kg): ")
height = pe / (mass * g)
print()
print("Using:")
print("PE = m*g*h")
print()
print("Rearranged:")
print("h = PE/(m*g)")
show_answer(
"h",
height,
"meters"
)
else:
print("Invalid choice.")
print()
print("DuckieDai says: done!")
# TI-Python imports the selected AppVar rather than
# setting __name__ to main.
main()

Filename: GRAVPE.py
Size: 3916 bytes
SHA-256: ae1c282439e58780c9af76733d080f0e862b09e898755dfb0311fd3022518ba6

Transfer and launch

Confirm that your calculator is the Python-capable model named above. Check that its OS and Python App versions match the reviewed record.
Download the .py source above and verify its SHA-256 digest if your computer provides that option.
Use TI Connect CE to send the Python file to a compatible calculator. GRAVPE is a suggested name; you may choose another valid, unique calculator name.
Open the Python App, select the program, and check sample inputs before relying on other results.

Read the complete installation, launch, troubleshooting, and removal guide.

Availability does not mean a teacher, school, or exam permits this program. Follow the applicable rules.

Version history

1.0.0 — current version, published 2026-09-23. Download this reviewed version

Any source change requires a new immutable version and digest. Historical downloads remain available only while their review records remain valid.

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