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AP Physics C: Mechanics
4.4 Elastic and Inelastic Collisions
4.3 Conservation of Linear Momentum
AdvancedMCQMathematicalProportional Analysis19.7k
A schematic diagram showing two rectangular blocks on a horizontal surface representing a frictionless track. The left block is labeled m_1 and the right block is labeled m_2. Between the two blocks is a small rectangular mechanism labeled bolt with two small outward-pointing horizontal arrows on either side indicating separation. A horizontal dashed line below the blocks represents the track surface. Above block 1, a small sensor icon is depicted. No other labels, lines, text, or axes appear.
Two blocks initially at rest on a frictionless track with an explosive mechanism between them.
An explosive mechanism of negligible mass is placed between two movable blocks of masses \(m_1\) and \(m_2\) on a horizontal, frictionless track. The blocks are initially held together at rest, and when the mechanism detonates, it releases a constant, unknown mechanical energy \(E_0\) entirely into the kinetic energies of the separating blocks. Block 1 is equipped with a sensor that measures its post-explosion kinetic energy \(K_1\), while block 2 has no sensor. In order to determine \(E_0\) from multiple trials using different values of the mass ratio \(\dfrac{m_1}{m_2}\), which of the following correctly identifies the quantity that should be plotted on the vertical axis versus \(\dfrac{m_1}{m_2}\) on the horizontal axis to produce a linear graph, along with the slope and vertical intercept of that graph?

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