The potential energy function for a particle executing linear SHM is given by where k is the force constant of the oscillator (Fig). For k = 0.5 N/m, the graph of V(x) versus x is shown in the figure. A particle of total energy E turns back when it reaches . If V and K indicate the PE and KE, respectively of the particle at , then which of the following is correct?
1. V=0, K=E
2. V=E, K=0
3. V<E, K=0
4. V=0, K,E
(b) Hint: Apply the concept of conservation of energy.
Step 1: Find the potential energy and the kinetic energy at the extreme position.
Total energy is E = PE+ KE
When particle is at x = i.e., at extreme position, returns back. Hence. at x = ; v = 0, K.E. = 0
From Eq. (I)
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