An object of mass 10 kg falls from rest through a vertical...

An object of mass $10 \mathrm{~kg}$ falls from rest through a vertical distance of $10 \mathrm{~m}$ and acquires a velocity of $10 \mathrm{~m} / \mathrm{s}$. The work done by the push of air on the object is $(g=$ $\left.10 \mathrm{~m} / \mathrm{s}^{2}\right)$ (A) $500 \mathrm{~J}$ (B) $-500 \mathrm{~J}$ (C) $250 \mathrm{~J}$ (D) $-250 \mathrm{~J}$

An object of mass $10 \mathrm{~kg}$ falls from rest through a vertical distance of $10 \mathrm{~m}$ and acquires a velocity of $10 \mathrm{~m} / \mathrm{s}$. The work done by the push of air on the object is $(g=$ $\left.10 \mathrm{~m} / \mathrm{s}^{2}\right)$
(A) $500 \mathrm{~J}$
(B) $-500 \mathrm{~J}$
(C) $250 \mathrm{~J}$
(D) $-250 \mathrm{~J}$

Key Concepts

Work-Energy Theorem

This principle states that the total work done on an object is equal to its change in kinetic energy. It is fundamental in linking forces acting on an object with the resulting motion, and it helps in understanding how energy is transferred or transformed when forces (such as friction or air resistance) do work on the object.

Gravitational Potential Energy

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It is calculated based on the object’s mass, the gravitational strength, and its height relative to a reference level. This concept is crucial when analyzing the energy changes during free fall or any vertical displacement.

Kinetic Energy

Kinetic energy is the energy associated with the motion of an object. It is dependent on the object's mass and the square of its velocity. Understanding kinetic energy is essential in evaluating the energy transformation that occurs when gravitational potential energy is converted into kinetic energy during motion.

Nonconservative Work

Nonconservative work refers to work done by forces that dissipate energy, such as air resistance or friction. Unlike conservative forces, the energy lost due to nonconservative forces cannot be fully recovered and typically manifests as thermal energy or other forms of energy loss, making them critical when assessing energy conservation in real-world scenarios.

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