DuckieDai Newton's Second Law Python Program

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physics · MIT License

Overview

Solve force, mass, or acceleration from F = m*a with validated calculator inputs.

Usage

Inputs

Requested unknown: force, mass, or acceleration
Two known values in compatible SI units

Outputs

Force in newtons, mass in kilograms, or acceleration in metres per second squared

Units: Use kilograms, metres per second squared, and newtons consistently.

Assumptions and limitations

Assumptions

Force means net force and mass remains constant.

Constraints

Mass must be positive and acceleration cannot be zero when solving for mass.

Known failures

Supplying a single component of force without matching component acceleration gives the wrong interpretation.

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, force/mass/acceleration selection, input validation, formula display, and labelled answer ran on the physical calculator
Dependencies: No imports
Suggested calculator name: NEWTON2 — 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 Newton's Second Law for TI-84 Plus CE Python."""


def duckiedai_intro(program_name, wait=True):
    """Show the small, 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 number(prompt):
    """Ask until the user supplies a valid number."""
    while True:
        try:
            value = float(input(prompt))

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

        except ValueError:
            pass

        print("Enter a valid number.")


def positive_number(prompt):
    """Ask until the user supplies a number above zero."""
    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 main():
    duckiedai_intro("NEWTON 2ND LAW")

    print("NEWTON'S SECOND LAW")
    print()
    print("Formula: F = m*a")
    print()
    print("1. Solve for Force")
    print("2. Solve for Mass")
    print("3. Solve for Acceleration")
    print()

    choice = input("Choose 1, 2, or 3: ")

    print()

    if choice == "1":
        mass = positive_number("Mass (kg): ")
        acceleration = number("Acceleration (m/s^2): ")

        force = mass * acceleration

        print()
        print("F = m*a")
        print("F = " + str(mass) + " x " +
              str(acceleration))
        print()
        print("Force = " + str(force) + " N")

    elif choice == "2":
        force = number("Net force (N): ")
        acceleration = number("Acceleration (m/s^2): ")

        if acceleration == 0:
            print()
            print("Acceleration cannot")
            print("be zero when solving")
            print("for mass.")
        else:
            mass = force / acceleration

            print()
            print("m = F/a")
            print("m = " + str(force) + " / " +
                  str(acceleration))
            print()
            print("Mass = " + str(mass) + " kg")

    elif choice == "3":
        force = number("Net force (N): ")
        mass = positive_number("Mass (kg): ")

        acceleration = force / mass

        print()
        print("a = F/m")
        print("a = " + str(force) + " / " +
              str(mass))
        print()
        print("Acceleration =")
        print(str(acceleration) + " m/s^2")

    else:
        print("Invalid choice.")

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


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

"""DuckieDai Newton's Second Law for TI-84 Plus CE Python."""
def duckiedai_intro(program_name, wait=True):
"""Show the small, 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 number(prompt):
"""Ask until the user supplies a valid number."""
while True:
try:
value = float(input(prompt))
if value > -1e100 and value < 1e100:
return value
except ValueError:
pass
print("Enter a valid number.")
def positive_number(prompt):
"""Ask until the user supplies a number above zero."""
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 main():
duckiedai_intro("NEWTON 2ND LAW")
print("NEWTON'S SECOND LAW")
print()
print("Formula: F = m*a")
print()
print("1. Solve for Force")
print("2. Solve for Mass")
print("3. Solve for Acceleration")
print()
choice = input("Choose 1, 2, or 3: ")
print()
if choice == "1":
mass = positive_number("Mass (kg): ")
acceleration = number("Acceleration (m/s^2): ")
force = mass * acceleration
print()
print("F = m*a")
print("F = " + str(mass) + " x " +
str(acceleration))
print()
print("Force = " + str(force) + " N")
elif choice == "2":
force = number("Net force (N): ")
acceleration = number("Acceleration (m/s^2): ")
if acceleration == 0:
print()
print("Acceleration cannot")
print("be zero when solving")
print("for mass.")
else:
mass = force / acceleration
print()
print("m = F/a")
print("m = " + str(force) + " / " +
str(acceleration))
print()
print("Mass = " + str(mass) + " kg")
elif choice == "3":
force = number("Net force (N): ")
mass = positive_number("Mass (kg): ")
acceleration = force / mass
print()
print("a = F/m")
print("a = " + str(force) + " / " +
str(mass))
print()
print("Acceleration =")
print(str(acceleration) + " m/s^2")
else:
print("Invalid choice.")
print()
print("DuckieDai says: done!")
# TI-Python imports the selected AppVar rather than
# setting __name__ to main.
main()

Filename: NEWTON2.py
Size: 3236 bytes
SHA-256: 5847ab4dc50c6ce889c2b25f7a46605e36b4ffe11ef6eb3427e6d01b04331a07

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. NEWTON2 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.

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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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