DuckieDai Work and Energy Python Program

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physics · MIT License

Overview

Solve work, kinetic energy, speed changes from net work, force, distance, or force angle with guided formulas.

Usage

Inputs

Requested calculation mode
Applicable force, distance, angle, mass, work, and velocity values

Outputs

Requested work-energy quantity with derivation and labelled unit

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

Assumptions and limitations

Assumptions

Angles are entered in degrees and net work follows the work-energy theorem.

Constraints

Mass and distance inputs must be positive where required; inverse cosine inputs must remain in range.

Known failures

Some inputs yield no real speed.
Force or distance cannot be recovered when the relevant cosine or divisor is zero.

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, multi page work energy menu, selected calculation workflow, derivation, and answer screen ran on the physical calculator
Dependencies: math
Suggested calculator name: WORKNRG — 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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Exact reviewed bytes

Source code

Download .py

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"""DuckieDai Work and Energy for TI-84 Plus CE Python."""

from math import cos, radians, sqrt, acos, degrees


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 number(prompt):
    """Ask until a valid finite number is entered."""
    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 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 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("WORK & ENERGY")

    print("WORK & ENERGY")
    print()
    print("1. Calculate Work")
    print("2. Kinetic Energy")
    print("3. Final speed")
    print("   from net work")
    print("4. Initial speed")
    print("   from net work")
    input("Press enter for more ")
    print("\n" * 6)
    print("5. Solve force")
    print("6. Solve distance")
    print("7. Solve angle")
    print()

    choice = input("Choose 1-7: ")

    print()

    # ==========================================
    # 1. WORK
    # W = F*d*cos(theta)
    # ==========================================

    if choice == "1":

        force = number("Force (N): ")
        distance = positive_number("Distance (m): ")
        angle = number("Angle (degrees): ")

        work = (
            force *
            distance *
            cos(radians(angle))
        )

        print()
        print("Using:")
        print("W = F*d*cos(theta)")
        print()
        print("W = " + str(force) +
              " x " + str(distance))
        print("x cos(" + str(angle) + ")")

        show_answer(
            "W",
            work,
            "joules"
        )


    # ==========================================
    # 2. KINETIC ENERGY
    # KE = 0.5*m*v^2
    # ==========================================

    elif choice == "2":

        mass = positive_number("Mass (kg): ")
        velocity = number("Velocity (m/s): ")

        ke = (
            0.5 *
            mass *
            velocity ** 2
        )

        print()
        print("Using:")
        print("KE = 0.5*m*v^2")
        print()
        print("KE = 0.5 x " +
              str(mass) + " x")
        print(str(velocity) + "^2")

        show_answer(
            "KE",
            ke,
            "joules"
        )


    # ==========================================
    # 3. FINAL SPEED FROM NET WORK
    #
    # W = KEf - KEi
    #
    # vf = sqrt(vi^2 + 2W/m)
    # ==========================================

    elif choice == "3":

        mass = positive_number("Mass (kg): ")
        vi = number("Initial speed: ")
        work = number("Net work (J): ")

        inside = (
            vi ** 2 +
            (2 * work / mass)
        )

        if inside < 0:

            print()
            print("No real final speed.")
            print("Check the values.")
            print()
            print("Negative work may")
            print("stop the object.")

        else:

            vf = sqrt(inside)

            print()
            print("Using:")
            print("W = KEf - KEi")
            print()
            print("Rearranged:")
            print("vf=sqrt(vi^2+2W/m)")

            show_answer(
                "Final speed",
                vf,
                "m/s"
            )


    # ==========================================
    # 4. INITIAL SPEED FROM NET WORK
    #
    # vi = sqrt(vf^2 - 2W/m)
    # ==========================================

    elif choice == "4":

        mass = positive_number("Mass (kg): ")
        vf = number("Final speed: ")
        work = number("Net work (J): ")

        inside = (
            vf ** 2 -
            (2 * work / mass)
        )

        if inside < 0:

            print()
            print("No real initial speed.")
            print("Check the values.")

        else:

            vi = sqrt(inside)

            print()
            print("Using:")
            print("W = KEf - KEi")
            print()
            print("Rearranged:")
            print("vi=sqrt(vf^2-2W/m)")

            show_answer(
                "Initial speed",
                vi,
                "m/s"
            )


    # ==========================================
    # 5. SOLVE FORCE
    #
    # F = W / (d*cos(theta))
    # ==========================================

    elif choice == "5":

        work = number("Work (J): ")
        distance = positive_number("Distance (m): ")
        angle = number("Angle (degrees): ")

        c = cos(radians(angle))

        if abs(c) < 0.0000001:

            print()
            print("Cannot solve force.")
            print("cos(angle) is zero.")

        else:

            force = (
                work /
                (distance * c)
            )

            print()
            print("Using:")
            print("W = F*d*cos(theta)")
            print()
            print("Rearranged:")
            print("F=W/(d*cos(theta))")

            show_answer(
                "F",
                force,
                "newtons"
            )


    # ==========================================
    # 6. SOLVE DISTANCE
    #
    # d = W / (F*cos(theta))
    # ==========================================

    elif choice == "6":

        work = number("Work (J): ")
        force = number("Force (N): ")
        angle = number("Angle (degrees): ")

        c = cos(radians(angle))

        denominator = force * c

        if abs(denominator) < 0.0000001:

            print()
            print("Cannot solve distance.")
            print("Check force/angle.")

        else:

            distance = (
                work /
                denominator
            )

            print()
            print("Using:")
            print("W = F*d*cos(theta)")
            print()
            print("Rearranged:")
            print("d=W/(F*cos(theta))")

            show_answer(
                "d",
                distance,
                "meters"
            )


    # ==========================================
    # 7. SOLVE ANGLE
    #
    # theta = acos(W / (F*d))
    # ==========================================

    elif choice == "7":

        work = number("Work (J): ")
        force = number("Force (N): ")
        distance = positive_number("Distance (m): ")

        denominator = force * distance

        if denominator == 0:

            print()
            print("Cannot solve angle.")

        else:

            ratio = work / denominator

            if ratio < -1 or ratio > 1:

                print()
                print("No real angle.")
                print("Check the values.")

            else:

                angle = degrees(
                    acos(ratio)
                )

                print()
                print("Using:")
                print("W = F*d*cos(theta)")
                print()
                print("Rearranged:")
                print("theta=acos(W/(F*d))")

                show_answer(
                    "theta",
                    angle,
                    "degrees"
                )

    else:

        print("Invalid choice.")

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


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

"""DuckieDai Work and Energy for TI-84 Plus CE Python."""
from math import cos, radians, sqrt, acos, degrees
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 number(prompt):
"""Ask until a valid finite number is entered."""
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 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 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("WORK & ENERGY")
print("WORK & ENERGY")
print()
print("1. Calculate Work")
print("2. Kinetic Energy")
print("3. Final speed")
print(" from net work")
print("4. Initial speed")
print(" from net work")
input("Press enter for more ")
print("\n" * 6)
print("5. Solve force")
print("6. Solve distance")
print("7. Solve angle")
print()
choice = input("Choose 1-7: ")
print()
# ==========================================
# 1. WORK
# W = F*d*cos(theta)
# ==========================================
if choice == "1":
force = number("Force (N): ")
distance = positive_number("Distance (m): ")
angle = number("Angle (degrees): ")
work = (
force *
distance *
cos(radians(angle))
)
print()
print("Using:")
print("W = F*d*cos(theta)")
print()
print("W = " + str(force) +
" x " + str(distance))
print("x cos(" + str(angle) + ")")
show_answer(
"W",
work,
"joules"
)
# ==========================================
# 2. KINETIC ENERGY
# KE = 0.5*m*v^2
# ==========================================
elif choice == "2":
mass = positive_number("Mass (kg): ")
velocity = number("Velocity (m/s): ")
ke = (
0.5 *
mass *
velocity ** 2
)
print()
print("Using:")
print("KE = 0.5*m*v^2")
print()
print("KE = 0.5 x " +
str(mass) + " x")
print(str(velocity) + "^2")
show_answer(
"KE",
ke,
"joules"
)
# ==========================================
# 3. FINAL SPEED FROM NET WORK
#
# W = KEf - KEi
#
# vf = sqrt(vi^2 + 2W/m)
# ==========================================
elif choice == "3":
mass = positive_number("Mass (kg): ")
vi = number("Initial speed: ")
work = number("Net work (J): ")
inside = (
vi ** 2 +
(2 * work / mass)
)
if inside < 0:
print()
print("No real final speed.")
print("Check the values.")
print()
print("Negative work may")
print("stop the object.")
else:
vf = sqrt(inside)
print()
print("Using:")
print("W = KEf - KEi")
print()
print("Rearranged:")
print("vf=sqrt(vi^2+2W/m)")
show_answer(
"Final speed",
vf,
"m/s"
)
# ==========================================
# 4. INITIAL SPEED FROM NET WORK
#
# vi = sqrt(vf^2 - 2W/m)
# ==========================================
elif choice == "4":
mass = positive_number("Mass (kg): ")
vf = number("Final speed: ")
work = number("Net work (J): ")
inside = (
vf ** 2 -
(2 * work / mass)
)
if inside < 0:
print()
print("No real initial speed.")
print("Check the values.")
else:
vi = sqrt(inside)
print()
print("Using:")
print("W = KEf - KEi")
print()
print("Rearranged:")
print("vi=sqrt(vf^2-2W/m)")
show_answer(
"Initial speed",
vi,
"m/s"
)
# ==========================================
# 5. SOLVE FORCE
#
# F = W / (d*cos(theta))
# ==========================================
elif choice == "5":
work = number("Work (J): ")
distance = positive_number("Distance (m): ")
angle = number("Angle (degrees): ")
c = cos(radians(angle))
if abs(c) < 0.0000001:
print()
print("Cannot solve force.")
print("cos(angle) is zero.")
else:
force = (
work /
(distance * c)
)
print()
print("Using:")
print("W = F*d*cos(theta)")
print()
print("Rearranged:")
print("F=W/(d*cos(theta))")
show_answer(
"F",
force,
"newtons"
)
# ==========================================
# 6. SOLVE DISTANCE
#
# d = W / (F*cos(theta))
# ==========================================
elif choice == "6":
work = number("Work (J): ")
force = number("Force (N): ")
angle = number("Angle (degrees): ")
c = cos(radians(angle))
denominator = force * c
if abs(denominator) < 0.0000001:
print()
print("Cannot solve distance.")
print("Check force/angle.")
else:
distance = (
work /
denominator
)
print()
print("Using:")
print("W = F*d*cos(theta)")
print()
print("Rearranged:")
print("d=W/(F*cos(theta))")
show_answer(
"d",
distance,
"meters"
)
# ==========================================
# 7. SOLVE ANGLE
#
# theta = acos(W / (F*d))
# ==========================================
elif choice == "7":
work = number("Work (J): ")
force = number("Force (N): ")
distance = positive_number("Distance (m): ")
denominator = force * distance
if denominator == 0:
print()
print("Cannot solve angle.")
else:
ratio = work / denominator
if ratio < -1 or ratio > 1:
print()
print("No real angle.")
print("Check the values.")
else:
angle = degrees(
acos(ratio)
)
print()
print("Using:")
print("W = F*d*cos(theta)")
print()
print("Rearranged:")
print("theta=acos(W/(F*d))")
show_answer(
"theta",
angle,
"degrees"
)
else:
print("Invalid choice.")
print()
print("DuckieDai says: done!")
# TI-Python imports the selected AppVar rather than
# setting __name__ to main.
main()

Filename: WORKNRG.py
Size: 8680 bytes
SHA-256: 408f33e65e1ad0b1e800702a87b5119af000d89515b73dd24da948bf5b14bf33

Transfer and launch

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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. WORKNRG 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.

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Version history

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

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