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Asseration : If work by done conservati...

Asseration : If work by done conservative forces is positive, kinetic energy will increase.
Reason : Because potential energy will decrease.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.

C

If Assertion is true, but the Reason is false

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we will analyze both statements step by step. ### Step 1: Understand the Assertion The assertion states: "If work done by conservative forces is positive, kinetic energy will increase." - **Analysis**: - According to the work-energy theorem, the work done on an object is equal to the change in its kinetic energy. - If the work done by conservative forces (like gravitational force) is positive, it indicates that energy is being transferred to the object, which can lead to an increase in kinetic energy. - However, this is not always the case. For instance, if the force applied is equal to the gravitational force (like when lifting an object at a constant speed), the kinetic energy may remain constant despite positive work being done. ### Conclusion for Step 1: The assertion is not universally true because the kinetic energy can remain constant even if positive work is done by conservative forces. ### Step 2: Understand the Reason The reason states: "Because potential energy will decrease." - **Analysis**: - The work done by conservative forces is related to the change in potential energy (U) by the equation: \[ W = -\Delta U \] - If the work done is positive, then \(\Delta U\) must be negative, which means that potential energy decreases. - This statement is correct because a decrease in potential energy typically corresponds to an increase in kinetic energy, according to the conservation of mechanical energy. ### Conclusion for Step 2: The reason is correct because a decrease in potential energy implies that the energy is being converted into kinetic energy. ### Final Conclusion: - The assertion is false because kinetic energy does not necessarily increase with positive work done by conservative forces. - The reason is true as it correctly describes the relationship between work done and potential energy. ### Overall Answer: - **Assertion**: False - **Reason**: True
To solve the assertion and reason question, we will analyze both statements step by step. ### Step 1: Understand the Assertion The assertion states: "If work done by conservative forces is positive, kinetic energy will increase." - **Analysis**: - According to the work-energy theorem, the work done on an object is equal to the change in its kinetic energy. - If the work done by conservative forces (like gravitational force) is positive, it indicates that energy is being transferred to the object, which can lead to an increase in kinetic energy. ...
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