Question

state work energy theorem and derive it .

Answer 1

Explanation:

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..... The work ‘W’ done by the net force on a particle is equal the change in the particle’s kinetic energy (KE).

Derivation Of Work Energy Theorem

Check the detailed work-energy theorem derivation given below.

Let us consider a case where the resultant force ‘F’ is constant in both direction and magnitude and is parallel to the velocity of the particle. The particle is moving with constant acceleration along a straight line. The relationship between the acceleration and the net force is given by the equation “F = ma” (Newton’s second law of motion), and the particle’s displacement ‘d’, can be determined from the equation:

Derivation Of Work Energy Theorem

Obtaining,

Derivation Of Work Energy Theorem

The work of the net force is calculated as the product of its magnitude (F=ma) and the particle’s displacement. Substituting the above equations yields:

Derivation Of Work Energy Theorem

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Answer 2

Answer:

Derivation Of Work Energy Theorem. ... The work-energy theorem also known as the principle of work and kinetic energy states that the total work done by the sum of all the forces acting on a particle is equal to the change in the kinetic energy of that particle.