A body of mass 2 kg is moved from a point A to a point B by...

A body of mass $2 \mathrm{~kg}$ is moved from a point $A$ to a point $B$ by an external agent in a conservative force field. If the velocity of the body at the points $A$ and $B$ are $5 \mathrm{~m} / \mathrm{s}$ and $3 \mathrm{~m} / \mathrm{s}$, respectively, and the work done by the external agent is $-10 \mathrm{~J}$, then the change in potential energy between points $A$ and $B$ is (A) $6 \mathrm{~J}$ (B) $36 \mathrm{~J}$ (C) $16 \mathrm{~J}$ (D) None of these

A body of mass $2 \mathrm{~kg}$ is moved from a point $A$ to a point $B$ by an external agent in a conservative force field. If the velocity of the body at the points $A$ and $B$ are $5 \mathrm{~m} / \mathrm{s}$ and $3 \mathrm{~m} / \mathrm{s}$, respectively, and the work done by the external agent is $-10 \mathrm{~J}$, then the change in potential energy between points $A$ and $B$ is
(A) $6 \mathrm{~J}$
(B) $36 \mathrm{~J}$
(C) $16 \mathrm{~J}$
(D) None of these

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Key Concepts

Work-Energy Theorem

The work-energy theorem establishes that the net work done on a body is equal to the change in its kinetic energy. This theorem is fundamental in linking the motion of objects (kinetic energy changes) with the forces acting on them, whether these forces are conservative or non-conservative.

Energy Conservation with External Work

When an external force acts on a system within a conservative force field, its work leads to changes in both kinetic and potential energy. The relationship between the external work, the change in kinetic energy, and the resulting change in potential energy allows for the analysis of energy transfers within the system.

Conservative Force Field

A conservative force field is one in which the work done by the force on an object moving between two points is independent of the path taken. In such fields, it is possible to define a potential energy function, with the work done by the field being equal to the negative change in this potential energy.

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