DuckieDai Newton's Second Law Python Program

physics · MIT License

Overview

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

Tested on a TI calculator
Downloaded 39 times
Version 1.0.0
3236 bytes
No imports

Download NEWTON2.py Read the source How to install

Before you run it

TI-84 Plus CE Python · tested on OS 5.8.3, Python App 5.8.3.0048
TI Connect CE .py conversion to a Python AppVar in RAM; physically verified one program at a time
Force means net force and mass remains constant.
Mass must be positive and acceleration cannot be zero when solving for mass.
Supplying a single component of force without matching component acceleration gives the wrong interpretation.

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Follow the reviewed program's real menu, prompts, validation, calculation, and result flow before downloading.

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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.

Learn the math

How Newton's second law works

The idea

Newton's second law says that the net force on an object equals its mass times its acceleration. Push harder and the object speeds up faster; make it heavier and the same push does less.

It is the equation behind most first-term mechanics problems, from carts on tracks to elevators and rockets.

The formula

F = m*a

F: net force in newtons (N)
m: mass in kilograms (kg)
a: acceleration in meters per second squared (m/s^2)

Using the program

Choose what to solve for: 1 force, 2 mass, or 3 acceleration.
Enter the two values you know. The program shows the formula with your numbers, then the answer with its unit.

Worked example

A 5 kg cart accelerates at 3 m/s^2. What net force acts on it? Choose 1 and enter mass 5 and acceleration 3.

F = 5.0 x 3.0

The program shows Force = 15.0 N.

Tips and common mistakes

F is the net force. If several forces act, add them (with direction) before using the formula.
Convert grams to kilograms first: 500 g is 0.5 kg.
Weight is a force (m*g), not a mass.

Where this comes up

This is the core of the forces unit in high school physics and the first weeks of college mechanics. It returns in every later topic that involves a net force: friction, inclines, pulleys, circular motion, and springs.

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

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.

Transfer and launch

Download the .py file, send it to your calculator with TI Connect CE as NEWTON2 or another name, then open the Python App and try the worked example on this page first.

Full installation and troubleshooting guide. Check your teacher's or exam's rules before using any program.

Version history

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

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