Question

The potential energy of a particle executing S.H.M.
is 25 J, when its displacement is half of amplitude.
The kinetic energy of the particle is
(1) 50 J
(2) 100 J
(3) 75J
(4) 25 J​

Answer 1

The total kinetic energy will be 100 J.

Explanation:

Potential energy of particle = 25 J

As we know that

• Potential energy in simple harmonic motion is directly proportional to displacement. i.e.
• Potential energy α S.H.M
• As the displacement is half of the amplitude then potential energy is the one fourth of the total energy i.e. 1/4

Therefore the total kinetic energy will be 100 J.

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