state work energy theorem and derive it .
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state work energy theorem and derive it .
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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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