Potential Energy

The potential energy of a stretched spring is

Here, spring constant,
elongation in spring.
But given that, the elongation is
So,
...(i)
If elongation is then potential energy

...(ii)
On dividing E (ii) by E (i), we have

or

Potential energy is calculated using the formula: Where: , , Hence, the body gains a potential energy of 196 joules.

We are given a mass of attached to a spring with a spring constant . The mass is displaced by from its equilibrium position. We need to calculate the potential energy stored in the spring. Step 1: Recall the formula for potential energy stored in a spring The potential energy stored in a spring is given by Hooke's Law: Where: - is the spring constant, - is the displacement from the equilibrium position. Step 2: Substitute the given values into the formula Substitute and into the formula: Answer: The potential energy stored in the spring is , so the correct answer is option (1).