Read Phase Curves: Turn Potential into Momentum
This short read prepares one exact NSEP pattern: momentum–position curves from potential energy. Identify the physical condition before calculating.
Momentum–Position Curves from Potential Energy is the central idea in this question pattern. Identify the condition in the stem before applying the method below.
Start with the physical model
Read the configuration once, state the conserved quantity or governing law, and mark any changing geometry, sign convention or limiting condition.
Build the relation
For total energy E in one dimension, p(x)=±sqrt[2m(E-V(x))].
The p-x curve is symmetric about the x-axis because both signs of p are possible. Applying these features to the plotted V(x), the only matching graph is Fig. a.
Check before selecting
Check units, sign and one limiting case. A valid result must still fit the original geometry and stated constraint.
OlympIQ exam lens
- ✓Name the governing law before using a formula.
- ✓Keep the stated geometry and direction information explicit.
- ✓Use one unit or limiting-case check.
At a turning point p is zero; it is not where the potential has zero slope.
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