The Potential Energy Of A Spring

We are given the following information:

• Kinetic energy of the ball =
• Maximum compression of the spring = 50 cm = 0.5 m

When the ball collides with the horizontally mounted spring, its kinetic energy is completely converted into potential energy stored in the spring. The potential energy stored in the spring at maximum compression is given by: Where: - is the spring constant, - is the maximum compression of the spring (0.5 m). Since all the kinetic energy is transferred to the spring, we equate the kinetic energy to the potential energy stored in the spring: Solving for :

Correct Answer:

Correct Answer: (C)

When a metal spring is elongated within its elastic limit, the spring stores potential energy. However, the nature of the work done depends on whether the spring is being stretched or compressed.

When the spring is stretched, work is done to deform it, and potential energy is stored in the spring. This energy is stored in the form of elastic potential energy. If the spring is subsequently allowed to return to its original length, the stored potential energy is converted back into work. This means that, during the stretching process, the spring is doing work to resist the deformation. Therefore, the correct statement is that work is done by the spring when it is elongated within its elastic limit, as the spring resists the applied force while storing potential energy.

Correct Answer:

Correct Answer: (A) Work is done by the spring

According to the equipartition theorem, each degree of freedom contributes to the energy of a system at thermal equilibrium.
This applies equally to both translational and rotational degrees of freedom.

For a string fixed at both ends, the fundamental frequency corresponds to the first harmonic, where the wavelength .
The wave number is given by:

The wavelength of a wave is given by .
For air and water:

LASIK (Laser-Assisted in Situ Keratomileusis) eye surgery is a popular laser surgery used to treat refractive vision problems.
The procedure uses ultraviolet (UV) radiations to reshape the cornea of the eye to improve vision.
- The laser used in LASIK surgery emits UV light, which is precisely controlled to ensure only the surface layers of the cornea are reshaped.
Thus, the correct answer is UV radiations.