A block of mass 2 kg is hanging over a smooth and light...

A block of mass $2 \mathrm{~kg}$ is hanging over a smooth and light pulley through a light string. The other end of string is pulled by a constant force $F$. The kinetic energy of block increases by $16 \mathrm{~J}$ in $2 \mathrm{~s}$, then (A) force $F$ may be $24 \mathrm{~N}$. (B) force $F$ must be $24 \mathrm{~N}$. (C) potential energy must be increase. (D) potential energy may be increase.

A block of mass $2 \mathrm{~kg}$ is hanging over a smooth and light pulley through a light string. The other end of string is pulled by a constant force $F$. The kinetic energy of block increases by $16 \mathrm{~J}$ in $2 \mathrm{~s}$, then
(A) force $F$ may be $24 \mathrm{~N}$.
(B) force $F$ must be $24 \mathrm{~N}$.
(C) potential energy must be increase.
(D) potential energy may be increase.

Key Concepts

Work-Energy Theorem

The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. This principle links the forces acting on an object over a displacement to the increase or decrease in its energy of motion, and it is fundamental when analyzing problems involving energy transfer, regardless of the details of the force’s application.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion and depends on both its mass and velocity. Understanding kinetic energy is key to analyzing how forces accelerate objects, and how work done on an object translates into changes in its speed over time.

Potential Energy

Potential energy, especially gravitational potential energy in the context of vertical motion, represents energy stored due to an object’s position in a force field. This concept is critical when examining how energy is redistributed between forms, such as from kinetic to potential energy, in systems influenced by conservative forces.

Newton's Second Law

Newton’s second law, which states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma), provides the underlying connection between forces and the resulting motion. It is essential for determining how an applied force influences the acceleration and consequent displacement, which in turn affects the work done and energy changes in a system.

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