A particle is performing simple harmonic motion with angular frequency 5000 radian/second and amplitude 2 cm and mass of 1 kg. Find the total energy of oscillation.

Question

A particle is performing simple harmonic motion with angular frequency 5000 radian/second and amplitude 2 cm and mass of 1 kg. Find the total energy of oscillation. (A) 2 kJ (B) 5 kJ (C) 7 kJ (D) 15 kJ

Tardigrade Admin · Accepted Answer

Total energy in SHM, E = (1/2) m ω2 A2 = (1/2) ×1 ×25 ×106 ×4 ×10-4 = 50 ×102 = 5 kJ

Q. A particle is performing simple harmonic motion with angular frequency $5000 r a d ian / seco n d$ and amplitude $2 c m$ and mass of $1 k g$ . Find the total energy of oscillation.

2 kJ

5 kJ

7 kJ

15 kJ

Total energy in SHM,
$E = \frac{1}{2} m ω^{2} A^{2}$
$= \frac{1}{2} \times 1 \times 25 \times 1 0^{6} \times 4 \times 1 0^{- 4}$
$= 50 \times 1 0^{2} = 5 k J$

Q. A particle is performing simple harmonic motion with angular frequency 5000radian/second and amplitude 2cm and mass of 1kg. Find the total energy of oscillation.