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STATEMENT-1: Work-energy theorem is cons...

STATEMENT-1: Work-energy theorem is consequence of Newton's laws of motion.
STATEMENT-2: The work done by a conservative force along a closed path is zero.
STATEMENT3: Work done by a constant force is independent of the path.

A

T T T

B

T F T

C

F F T

D

F F F

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will evaluate each statement one by one. ### Step 1: Evaluate Statement 1 **Statement 1:** Work-energy theorem is a consequence of Newton's laws of motion. - The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. This theorem can be derived from Newton's second law of motion (F = ma) and the definition of work (W = F·d). Therefore, Statement 1 is **True**. ### Step 2: Evaluate Statement 2 **Statement 2:** The work done by a conservative force along a closed path is zero. - A conservative force is defined as a force for which the work done in moving an object between two points is independent of the path taken. When an object returns to its starting point (a closed path), the initial and final positions are the same, resulting in zero net work done. Therefore, Statement 2 is **True**. ### Step 3: Evaluate Statement 3 **Statement 3:** Work done by a constant force is independent of the path. - The work done by a constant force depends only on the initial and final positions of the object, not on the path taken between them. This is a characteristic of conservative forces, and since a constant force can be considered as a special case of a conservative force, Statement 3 is also **True**. ### Conclusion All three statements are true. Therefore, the correct answer is that all statements are true. ### Final Answer: All statements are true. ---
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