AP Physics C: Mechanics
2.10 Circular Motion
2.5 Newton’s Second Law
A student investigates uniform circular motion by attaching a puck of mass \(m\) to a light string on a horizontal frictionless surface. The string is connected to a force sensor that measures the tension, which provides the net inward force \(F\). The measured speed \(v\) and net force \(F\) for three different path radii \(r\) are shown in the table.
Based on these data, which of the following correctly identifies the mass of the puck and describes how the period of revolution \(T\) and kinetic energy \(K\) change as the radius \(r\) increases while the net inward force \(F\) is held constant?
| Trial | Radius \(r\) | Speed \(v\) | Net Inward Force \(F\) |
|---|---|---|---|
| 1 | \(0.20 \text{ m}\) | \(2.0 \text{ m/s}\) | \(5.0 \text{ N}\) |
| 2 | \(0.45 \text{ m}\) | \(3.0 \text{ m/s}\) | \(5.0 \text{ N}\) |
| 3 | \(0.80 \text{ m}\) | \(4.0 \text{ m/s}\) | \(5.0 \text{ N}\) |
Based on these data, which of the following correctly identifies the mass of the puck and describes how the period of revolution \(T\) and kinetic energy \(K\) change as the radius \(r\) increases while the net inward force \(F\) is held constant?
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