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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

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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...

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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...

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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...

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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...

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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 ...

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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...

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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...

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Newton’s Second Law – Normal Force in an Accelerating Elevator
Engineers at Otis Elevator Company are testing a new high-speed elevator installed in the Burj Khalifa. When the elevator accel...

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Newton’s Second Law – Motion on an Inclined Plane
In the mountainous region near Manali, a rescue team is testing a motorized emergency vehicle designed to climb steep slopes. E...

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Newton’s First Law – Force Needed to Start Motion
At Indira Gandhi International Airport, a heavy suitcase is sitting on a stationary conveyor belt. The belt is initially at rest...

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Newton’s Second Law – Acceleration of a Mars Rover
At NASA's robotics laboratory, engineers are preparing a prototype rover for a future mission to Mars. Before sending the rover...

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Newton’s Second Law – Force Required to Accelerate a Rocket Cart
At ISRO's training center, engineering students are testing a small rocket-powered cart on a straight frictionless track. The ca...

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[Master Regular Expression] Keyboard Row
Given an array of strings words, return the words that can be typed using letters of the alphabet on only one row of American ke...

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[Master Regular Expression] Unique Email Addresses
Every valid email consists of a local name and a domain name, separated by the '@' sign. Besides lowercase letters, the email ma...

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[Master Regular Expression] Reformat Phone Number
You are given a phone number as a string number. number consists of digits, spaces ' ', and/or dashes '-'. You would like to re...

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[Master Regular Expression] Goat Latin
You are given a string sentence that consist of words separated by spaces. Each word consists of lowercase and uppercase letters...

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The Dividing River of Balance
After escaping the multiplying vines, Arjun arrives at a wide glowing river. Floating stones appear and disappear mysteriously. ...

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The Multiplying Vines
As Arjun continues deeper into the Lost Forest of Aryavarta, thick magical vines suddenly wrap around the trees and block his pa...

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The Broken Bridge of Difference
fter entering the forest, Arjun walks deeper until he reaches a wide river. The bridge that once crossed it is broken, and only ...

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The Gate of Addition
As Arjun stands at the entrance of the mysterious Lost Forest of Aryavarta, he encounters a massive ancient wooden gate covered ...

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Rotating 2d curve around a vertical axis
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider the counterclockwise rotatio...

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[Master Regular Expression] String To Integer
Implement the myAtoi(string s) function, which converts a string to a 32-bit signed integer. The algorithm for myAtoi(string s)...

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Compute the effective conductivity of more heterogeneous aquifers
Cody Problem 52070 asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single...

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Design a well field in an infinite aquifer
A well field provides water for a community. The design of a well field involves a goal to meet a specified service demand (i.e...

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Determine aquifer properties: slug test
An important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground wa...

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Determine aquifer properties: steady pump test in a leaky confined aquifer
Problem statement Write a function to determine the hydraulic conductivity of a leaky confined aquifer and the hydraulic condu...

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Check a scheme to dewater a construction area
In addition to supplying water and capturing contaminants, wells can be used to lower the water table in a construction area. In...

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Design a capture zone
One approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background fl...

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