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AP EAMCET · PHYSICS · Oscillations

A block of mass 1 kg is fastened to a spring of spring constant of 100 N m-1. The block is pulled to a distance x=10 cm from its equilibrium position (x=0 cm) on a frictionless surface, from rest at t=0. The kinetic energy and the potential energy of the block when it is 5 cm away from the mean position is

  1. A 0.375 J,0.125 J
  2. B 0.125 J,0.375 J
  3. C 0.125 J,0.125 J
  4. D 0.375 J,0.375 J
Verified Solution

Answer & Solution

Correct Answer

(A) 0.375 J,0.125 J

Step-by-step Solution

Detailed explanation

Angular frequency of SHM, ω=km=1001=10 Velocity, v=ωa2-x2=100.12-0.052 ⇒v=0.866 m/s Kinetic energy, K.E=12mv2=12×1×0.8662 ⇒K.E=0.375 J Potential energy, P.E=12kx2=12×100×0.052 ⇒P.E=0.125 J