If work is done on an object increases then ________ associated with it will ___________.

Concept:

• The work done by a force is defined as: The product of the component of the applied force on the block in the direction of the displacement and the magnitude of this displacement is called work done.
• The work-energy theorem is also called the principle of work and kinetic energy.
• The work-energy theorem states that the total work done by all the forces is equal to the change in kinetic energy of the particle.
• Total work done = change in kinetic energy

⇒ Total work done (W) = KE_f – KE_i

\(⇒ W = \frac{1}{2}m\;{v^2} - \frac{1}{2}m\;{u^2}\)

Where KE_f is final kinetic energy, KE_i is initial kinetic energy, u is initial velocity and V is the final velocity

• For a variable force, the work-energy theorem is given by:

\(⇒ Work\;done\;\left( W \right) = \mathop \smallint \nolimits_{{x_1}}^{{x_2}} F.\;dx = \frac{1}{2}m\;{V^2} - \frac{1}{2}m\;{v^2}\)

Explanation:

• From the above-given explanation, we can see that the relation between kinetic energy and work is given by the work-energy theorem
• And according to the work-energy theorem Work done, W = ΔK.E
• From this, we can see that if work done on an object increases then the Kinetic energy associated with it will also increase. Hence option 2 is correct