Question

prove work energy teorem​

Answer 1

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Explanation:

The work-energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.

Thus, work is a result of force and the resulting displacement. Now, we already know that all moving objects have kinetic energy. So, there must be a relation between Work and kinetic energy. This relation between the kinetic energy of an object and workdone is called “Work-Energy Theorem”. It is expressed as:

Work - Energy Theorem

Here, W is the work done in joules (J) and ΔK is the change in kinetic energy of the object. To learn how the Work-Energy Theorem is derived, we must first learn the nature of work as a scalar quantity and how two or more vector quantities are multiplied.

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Answer 2

$\huge \star \underline \pink{defination}$

The work-energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.

$\huge \star \underline \blue{solution}$

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:

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