Question

the potential energy of a simple harmonic oscillator when the particle is half way to its end point is​

Answer 1

Answer:

Explanation:

Potential energy of Simple harmonic oscillator:-

Answer 2

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is​ one by four times of total energy .

Explanation:

The potential energy of a particle performing simple harmonic motion is given by

$U=\frac{1}{2} m\omega y^{2}$

Here y is distance of the particle from mean position.

So, potential energy is directly proportional to the square of the displacement.

As per question, the particle is half way to its end point y = a/2

Therefore, potential energy

$U_{new} =\frac{1}{2} m\omega(\frac{a}{2})^2$

$U_{new} =\frac{E}{4}$

Here E is the total energy of the SHM

Thus, the potential energy of a simple harmonic oscillator when the particle is half way to its end point is​ one by four times of total energy .

#Learn More:

Topic: Energy in SHM

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