If spring constant is 2 and displacement is also 2 then sum of KE and PE?
Correct answer: C. 4 J
- A. 8 J
- B. 16 J
- C. 4 J
- D. None of these
Explanation
The potential energy stored in a spring is given by:PE = (1/2) * k * x^2where k is the spring constant and x is the displacement.The kinetic energy of a spring is given by:KE = (1/2) * m * v^2where m is the mass of the object attached to the spring and v is its velocity.The total energy of the system is the sum of the potential energy and the kinetic energy.Total energy = PE + KEIn this case, the spring constant k = 2 and the displacement x = 2. So, the potential energy is:PE = (1/2) * 2 * 2^2 = 4 JSince the object is at rest, its velocity is zero, and therefore the kinetic energy is zero.KE = 0Therefore, the total energy of the system is:Total energy = PE + KE = 4 J + 0 J = 4 J
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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