A conservative force has the
potential energy function U(x) as
shown by the graph. A particle
moving along x direction under the influence of only this force has kinetic energy 1.0 J when it is at position X1.
When of the following is/are correct statement (s) about the motion of the particles?
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Right answers are: (a) It oscillates
(b) It cannot reach either x0 or x2
Explanation:
- At x1, potential energy U(x1) = -2J
kinetic energy is V(x1) = 1 J
- Total energy = U(x1) + V(x1) = -2J + 1 J = -1 J
- Total energy will remain conserved as the force is conserved.
- So, U(x1) = -1J - V(x1)
As kinetic energy ≥ 0
U(x1) ≤ -1J
Conclusion: From the graph we can say that the particle will oscillate between potential energy range -1J to -2J and it will never reach x0 and x2 point.
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