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Spring Energy Storage
Engineers at Bosch design suspension systems using springs. They calculate the energy stored when the spring compresses.

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Drift Velocity in Conductor

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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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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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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.

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

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Falling Object Velocity
Scientists at ISRO drop test equipment from a height to study motion under gravity. They must calculate the velocity just befor...

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Total Energy of Moving Object
E=KE+PE

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Pushing a Heavy Machine
At a factory operated by Bharat Heavy Electricals Limited in Haridwar, engineers must move a heavy generator across the floor. ...

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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 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 – 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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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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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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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 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 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 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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Square area to triangle area
Given the area, A, of a square with side length, c, if a right angle triangle has the same area A and the hypothenuse length 2c ...

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Integer Persistence, Product
Let's construct a sequence as follows: is a given natural number, and is the product of the digits of . The persistence of i...

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Sum of infinite series.

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Relation between functions "dec2bin" & "dec2binvec"
Here it's an easy problem we try to find the relation between the two functions "dec2bin" & "dec2binvec", so here you must write...

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Filled Diamond Pattern
Create an N×N binary matrix that forms a filled diamond shape centered in the matrix. The diamond expands symmetrically toward t...

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Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...

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Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...

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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...

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Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...

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Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)

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Addition II
find a+b+c+d

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Addition
Add together the values of a and b.

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