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Cheatsheet: Work and Energy

Work

Work

Work

Energy

Energy

Kinetic Energy

Kinetic Energy

Kinetic Energy

Potential Energy

Potential Energy

Potential Energy

Law of Conservation of Energy

Law of Conservation of Energy

Free fall : Sum of Potential and Kinetic Energy remain constant at each and every pointFree fall : Sum of Potential and Kinetic Energy remain constant at each and every point

Power

Power

Power

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FAQs on Cheatsheet: Work and Energy

1. What is the definition of work in physics?
Ans. In physics, work is defined as the product of the force applied to an object and the distance over which that force is applied, in the direction of the force. Mathematically, it is expressed as Work = Force × Distance × cos(θ), where θ is the angle between the force and the direction of motion. If the force and motion are in the same direction, cos(θ) equals 1, making the calculation straightforward.
2. How is kinetic energy calculated and what does it represent?
Ans. Kinetic energy is the energy possessed by an object due to its motion. It is calculated using the formula KE = ½ mv², where m is the mass of the object and v is its velocity. This means that kinetic energy increases with the square of the velocity, indicating that even a small increase in speed can lead to a significant increase in kinetic energy.
3. What is potential energy and how is it determined?
Ans. Potential energy is the stored energy of an object due to its position or condition. The most common form is gravitational potential energy, which is calculated using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height above a reference point. This energy has the potential to be converted into kinetic energy when the object is allowed to fall or move.
4. What is the Law of Conservation of Energy?
Ans. The Law of Conservation of Energy states that energy cannot be created or destroyed; it can only be transformed from one form to another. This means that the total energy in an isolated system remains constant over time. For example, potential energy can convert to kinetic energy and vice versa, but the total energy will not change.
5. How is power defined in the context of work and energy?
Ans. Power is defined as the rate at which work is done or energy is transferred. It is calculated using the formula Power = Work / Time. The unit of power is the watt (W), where 1 watt equals 1 joule of work done per second. This means that a higher power indicates that work is being done more quickly.
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