Question

In the case of non-conservative forces, the following statement is correct:

• A. The work done by non-conservative force in a closed path is zero.
• B. The work done by non-conservative forces does not depend on the path.
• C. The work done by non-conservative forces depend on the path.
• D. There is no energy loss in case of non-conservative forces.

Hint:

When dealing with non-conservative forces, always remember that the work done is path-dependent and can result in energy dissipation.

Answer 1

The Correct Option is C

Non-conservative forces, such as friction or air resistance, do work that depends on the path taken. Unlike conservative forces (e.g., gravity), the work done by non-conservative forces is not related to the displacement between the initial and final points but depends on the actual path traversed by the object. - The statement "The work done by non-conservative force in a closed path is zero" is false, as work done by non-conservative forces (like friction) can be non-zero even in a closed path. - The statement "The work done by non-conservative forces does not depend on the path" is also incorrect, as the work done depends entirely on the path. - The correct statement is "The work done by non-conservative forces depends on the path," which is true, as the energy dissipated (e.g., by friction) depends on the path taken. - The statement "There is no energy loss in case of non-conservative forces" is false because non-conservative forces (like friction) lead to energy loss (often in the form of heat). Thus, the correct answer is option (3), as the work done by non-conservative forces depends on the path.

Answer 2

Step 1: Understand the nature of forces
Non-conservative forces, such as friction or air resistance, do not store energy in the system.

Step 2: Work done by conservative forces
For conservative forces (like gravity), the work done depends only on initial and final positions, not on the path taken.

Step 3: Work done by non-conservative forces
In contrast, the work done by non-conservative forces depends on the actual path followed during the motion.

Step 4: Implication
Because non-conservative forces dissipate energy (e.g., as heat), the total mechanical energy of the system changes depending on the path.

Final answer: The work done by non-conservative forces depends on the path.