This problem is based on the Heisenberg uncertainty principle.

The principle places limitations in the accuracy when determining position and velocity simultaneously.

Mathematically:

$\overline{){\mathbf{\u2206}}{\mathbf{x}}{\mathbf{\xb7}}{\mathbf{\u2206}}{{\mathbf{p}}}_{{\mathbf{x}}}{\mathbf{\ge}}\frac{\mathbf{h}}{\mathbf{4}\mathbf{\pi}}}$ Δx is the uncertainty in the position, Δp_{x} is the uncertainty in the momentum, and h is planks constant.

Andrea, whose mass is 50 kg, thinks she’s sitting at rest in her 5.0-m-long dorm room as she does her physics homework. Can Andrea be sure she’s at rest? If not, within what range is her velocity likely to be?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Quantum Mechanics concept. You can view video lessons to learn Quantum Mechanics. Or if you need more Quantum Mechanics practice, you can also practice Quantum Mechanics practice problems.

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Based on our data, we think this problem is relevant for Professor Schmidt's class at McMaster University.