Question

The Work-Energy theorem states that the change in

• A. kinetic energy of a particle is equal to the work done on it by the net force
• B. kinetic energy of a particle is equal to the work done by one of forces acting on it
• C. potential energy of a particle is equal to the work done on it by the net force
• D. potential energy of a particle is equal to the work done by one of forces acting on it
• E. total energy of a particle is equal to the work done on it by the net force

Hint:

Whenever you see “net work,” think immediately of “change in kinetic energy.”

Answer 1

The Correct Option is A

Concept: The Work-Energy Theorem is a fundamental principle of mechanics which states: \[ W_{\text{net}} = \Delta K \] This means the net work done by all forces acting on a particle equals the change in its kinetic energy.

Step 1: Important points:
• Only net force is considered
• It relates only to kinetic energy
• It does not directly involve potential energy

Step 2: Analyze options:
• (A) Matches theorem exactly → Correct
• (B) Only one force considered → Incorrect
• (C), (D) Talks about potential energy → Incorrect
• (E) Talks about total energy → Incorrect

Step 3: Final reasoning: The theorem strictly relates net work and kinetic energy change only.