Physics-Work-Energy Theorem

NEET Physics Work-Energy Theorem MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Consider a block of mass m moving on a smooth horizontal table with an initial speed v_i. If a force F(x) acts on the block, which depends inversely on the position x, how is the work done by this force related to the change in kinetic energy of the block?

Question diagram
A

The work done by the force equals the change in kinetic energy, which can be expressed as an integral from x_i to x_f of F(x) dx.

B

The work done by the force is independent of the change in kinetic energy and depends only on the initial speed v_i.

C

The work done by the force equals the change in kinetic energy and is directly proportional to the initial speed squared.

D

The work done by the force is zero because the force is inversely proportional to x.

Correct Answer

Option A

Detailed Explanation

The work-energy theorem states that the work done by a force is equal to the change in kinetic energy, as shown by integrating F(x) dx from initial to final position.

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