Question

Assertion: The potential energy stored in the spring is positive, when it is compassed and negative, when stretched.
Reason: It is in accordance with the sign conversions for positive and negative work.
(A) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
(B) Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
(C) Assertion is correct but Reason is incorrect
(D) Assertion is correct but Reason is correct

Answer 1

We know that potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. Common types of potential energy include the gravitational potential energy of an object that depends on its mass and its distance from the center of mass of another object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The unit for energy in the International System of Units (SI) is the joule, which has the symbol J.

Step-by step answer:
We know that the formula that is given to formula is:
$KE=\dfrac{{{P}^{2}}}{2m}$
It is known by us that given P is the same for two bodies.
$\therefore KE\alpha \dfrac{1}{m}$
Thus, we can conclude that:
$\Rightarrow$Lighter body possesses more KE. The KE of a body varies as the square of its velocity is correct.
Therefore, we can say that both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

Hence, the correct answer is Option A.

Note: It is known by us that potential energy is the dormant stored energy in any system. It is a type of energy that a system possesses on account of its configuration and position of various constituents of that system in presence of a force. It is the energy stored in an object when work is done against a force. Potential energy is the energy by virtue of an object's position relative to other objects. Potential energy is often associated with restoring forces such as a spring or the force of gravity. This work is stored in the force field, which is said to be stored as potential energy.
It should be known that potential energy is a concept of the energy that results from the object's position; as a concept it refers to the work you have to do to move the object from $U=0$. This is called the work done. This energy that we spent is stored inside the body on which we do work as the potential energy.