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William


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Semi-retired physicist with interests in numerical modeling and mathematics.

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[Master Regular Expression] String Matching in an Array
Given an array of string words, return all strings in words that are a substring of another word. You can return the answer in a...

1 día hace

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Is it Possible? ( Easy )
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6 días hace

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Velocity at Bottom Using Energy Conservation
A steel ball rolls down a precision ramp in a lab at CERN.

8 días hace

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Acceleration in an Atwood Machine with Massive Pulley
Engineers at Indian Institute of Technology Delhi are designing a precision elevator calibration system using two masses connect...

10 días hace

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Motion of a Bead Sliding on a Rotating Rod (Non-Inertial Frame Dynamics)
Scientists at Indian Space Research Organisation are testing artificial gravity inside a rotating space station module. Inside ...

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Angular Velocity of a Falling Rod Pivoted at One End (Energy + Rotation)
Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is m...

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Acceleration in a Symmetric Double-Pulley Constraint System
Engineers at Indian Institute of Technology Kanpur are designing a precision counterweight system for high-speed elevators. The ...

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Moment of Inertia Using Parallel Axis Theorem
Engineers at Indian Space Research Organisation are designing a satellite with extendable robotic arms. When the arms extend out...

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Angular Velocity of a Falling Rod Pivoted at One End (Energy + Rotation)
Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is m...

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Angular Velocity Required to Create Artificial Gravity
Scientists at NASA and Indian Space Research Organisation are designing a rotating space station ring to simulate Earth-like gra...

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Velocity of a Particle Under Constant Acceleration Using Energy Methods
Scientists at CERN are testing a linear accelerator that uses electromagnetic force to accelerate charged particles along a stra...

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Tension in String for Circular Motion (Advanced Rotational Dynamics)
At the astronaut training facility of Indian Space Research Organisation, astronauts are trained using a rotating centrifuge. Th...

10 días hace

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Maximum Power Transfer
Engineers at Texas Instruments design circuits for maximum efficiency. Internal resistance = 4 Ω Find load resistance for maxi...

10 días hace

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Kirchhoff’s Loop Law
Engineers at ISRO design spacecraft circuits. Battery = 10 V Total resistance = 2 Ω Find current in loop.

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Drift Velocity in Conductor

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Power Loss in Transmission Lines
Electricity transmitted by Power Grid Corporation of India experiences power loss due to resistance. Current = 10 A Resistance...

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Car Battery Internal Resistance
Engineers at Tata Motors test a car battery with: EMF = 12 V Internal resistance = 1 Ω External resistance = 5 Ω Find curren...

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Parallel Circuit in Home Wiring
Home appliances connected in parallel in a house in Gurgaon have resistances of 6 Ω and 3 Ω. Find equivalent resistance.

10 días hace

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Series Circuit in Street Lights
Street lights installed by the Delhi Electricity Distribution Company use three resistors of 2 Ω, 3 Ω, and 5 Ω in series. Find ...

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Mobile Charging Cable Resistance

10 días hace

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Electric Heater Safety Test
Engineers at Havells test a heater connected to 220 V supply. The heater resistance is 44 Ω. They need to calculate power consu...

10 días hace

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Emergency Torch in a Power Cut
During a power outage in Lucknow, Riya uses an emergency torch powered by a battery of 6 V connected to a bulb with resistance 3...

10 días hace

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Newton’s Third Law – Action and Reaction in Rocket Launch
Scientists at SpaceX are testing a rocket engine before launch from their facility. When the rocket pushes exhaust gases downwa...

11 días hace

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Machine Efficiency Test
Engineers at Siemens test how efficiently a motor converts electrical energy into mechanical work.

11 días hace

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Power of Moving Vehicle
Engineers at Tesla calculate how much power is required to maintain vehicle motion.

11 días hace

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Newton’s Second Law – Force Produced by a Car Engine
Automotive engineers at Tata Motors are testing a new electric car prototype on a straight test track in Pune. The engineers wa...

11 días hace

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Newton’s Second Law – Acceleration of Connected Objects
Engineers at Boston Dynamics are testing two robots connected by a rope on a frictionless surface. Robot A pulls Robot B using ...

11 días hace

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Newton’s Second Law – Gravitational Force on a Falling Object
During a relief mission organized by the Indian Air Force, supply packages are dropped from aircraft to remote flood-affected ar...

11 días hace

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Newton’s First Law – Net Force in Equilibrium
At a manufacturing plant operated by Reliance Industries in Jamnagar, a heavy equipment box rests on the factory floor. Even th...

11 días hace

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Work Done in Lifting an Object
Engineers at Larsen & Toubro are testing a crane used to lift heavy construction materials at a building site in Mumbai. They n...

11 días hace

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