A particle of mass 0 1kg is in SHM of amplitude 0 1m When the particle passes through its mean - Physics - Oscillations

Question

A particle of mass 0 1kg is in SHM of amplitude 0 1m When the
particle passes through its mean position its kinetic energy is
8x10-3J At what position will its kinetic energy reduce to half
this value? What will be the potential energy at this position?

Shivam Kumar · Accepted Answer

Dear Student,

Sum of potential energy and kinetic energy is constant in a SHM

Also, at extreme kinetic energy is zero and at mean position
potential energy is zero

Given,A=0
1 m,12kA2=8×10-3 [As kinetic energy is zero, potential energy is equal to total energy]k(0
1)2=16×10-3k=1
6When kinetic energy is half potential energy is also half12kx2=8×10-321
6x2=8×10-3x2=8×10-31 6=5×10-3x=5×10-3m

Regards

A particle of mass 0.1kg is in SHM of amplitude 0.1m.When the particle passes through its mean position its kinetic energy is 8x10-3J. At what position will its kinetic energy reduce to half this value? What will be the potential energy at this position?