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State and explain Work-Energy theorem

Question

State and explain Work-Energy theorem

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Solution

The Work-Energy Theorem states that the work done on an object is equal to the change in its kinetic energy. This theorem is a simplified version of the more general law of conservation of energy, which states that the total energy of an isolated system is constant.

Here's a step-by-step explanation:

  1. Work: In physics, work is defined as the product of the force applied to an object and the distance the object moves as a result of this force. It is given by the formula W = Fd cos θ, where W is work, F is force, d is distance, and θ is the angle between the force and the direction of motion.

  2. Kinetic Energy: This is the energy an object possesses due to its motion. It is given by the formula KE = 1/2 mv^2, where m is the mass of the object and v is its velocity.

  3. Work-Energy Theorem: This theorem states that the work done on an object is equal to the change in its kinetic energy. Mathematically, this can be written as W = ΔKE, where ΔKE is the change in kinetic energy.

  4. Explanation: When work is done on an object, it either gains or loses energy. This energy is transferred in the form of kinetic energy. If the object speeds up, its kinetic energy increases, and if it slows down, its

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