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

Written and checked by , contributorLast updated
Report an error

The more specific you are, the faster it gets fixed. A source beats an opinion.

Prefer email? [email protected]

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.

Practise Waves

1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.

Discussion

Stuck on an option, or know a faster way to get there? Ask or explain it here.

No comments yet. Be the first to explain this one.

Exams that ask Physics questions like this

Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.

More Simple Harmonic Motion questions