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Power of Elevator Motor
P=W/t​

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Total Energy of Moving Object
E=KE+PE

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Roller Coaster Height Energy
At Imagicaa Theme Park, engineers calculate potential energy at the top of a roller coaster.

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Kinetic Energy of a Moving Car
Engineers at Mahindra & Mahindra test how much kinetic energy a car gains when accelerating.

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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...

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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...

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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.

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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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Draw a '7' in a zero matrix!

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Draw a '8' in a zero matrix!

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Draw a '4' in a zero matrix!

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Raise a polynomial to a power
In Matlab, polynomials are represented by a vector of coefficients. For example, the polynomial p=a*x^2 + b*x + c is represente...

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Draw a '3' in a zero matrix!

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