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Total energy

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Potential energy calculation

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Kinetic energy calculation

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Laws of motion 1

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Laws of motion 2

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Laws of motion 3

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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.

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Laws of motion 5
Calculate the force is u are given mass and acceleration.

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Laws of motion 6

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Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

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Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

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Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

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Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate (​) of a battery can be calculated using the formula: ​​ where: ​ is th...

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Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

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Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...

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Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...

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Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: ​​ where: ​ is the ...

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State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...

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Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

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Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so: x = [1 2 3 4] Commas are optional, s...

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Popular Word Game™ Distance
Professor Ned, who holds the Nedowed Chair of Crackpot Mathematics at the University of Nedsburg, has recently discovered the da...

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Who Holds the Lord Ned Challenge Shield?
During the Nedball Premier League regular season, each of the n teams plays each of the other (n-1) teams twice, once at home an...

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The Bridges of Nedsburg
The fabled city of Nedsburg consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, ...

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A Nedlish Country Garden - Check for Valid Arrangement
Nedland is famous for its stately gardens, which typically have a centerpiece of a square grid, with certain squares featuring a...

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Average Number of Moves for the Royal Game of Err
Bored of tedious court assemblies, King Neduchadneddar the Procrastinator has found a cunning way to keep his advisors, councilo...

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Transition Matrix for the Royal Game of Err
Bored of tedious court assemblies, King Neduchadneddar the Procrastinator has found a cunning way to keep his advisors, councilo...

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Government of the Neds, by the Neds, for the Neds - Distribute the Nedsburg City Councilors
The city of Nedsburg consists of several islands, the number of which changes regularly, due to tectonic forces, shoddy civil en...

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Card Game
This is an overly simplified and highly modified version of card game Twenty-Nine. A deck of 100 unique cards (hypothetical) ...

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Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...

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