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AP Physics C: Mechanics
4.4 Elastic and Inelastic Collisions
4.2 Change in Momentum and Impulse
AdvancedMCQMathematicalConceptual23.8k
A Cartesian coordinate graph showing force \(F\) on the vertical axis versus time \(t\) on the horizontal axis. The horizontal axis ranges from \(0\) to \(7.0 \text{ ms}\) with major tick marks and labels at integer intervals 0, 1, 2, 3, 4, 5, 6, 7, labeled 'Time (ms)'. The vertical axis ranges from \(0\) to \(3500 \text{ N}\) with major tick marks and labels at intervals of 1000, labeled 0, 1000, 2000, 3000, labeled 'Force (N)'. Light gray gridlines align with each tick mark on both axes. A single solid thick black curve represents \(F(t)\), consisting of two line segments: the first segment starts at the origin (0, 0) and rises linearly to a sharp peak at (2.0, 3000); the second segment decreases linearly from (2.0, 3000) to (6.0, 0) on the horizontal axis. From \(t = 6.0 \text{ ms}\) to \(7.0 \text{ ms}\), the force remains at zero along the horizontal axis. No other curves, labels, shaded regions, or text appear on the graph.
Force versus time during the collision.
A block of mass \(m_1 = 1.0 \text{ kg}\) moves with an initial velocity of \(+8.0 \text{ m/s}\) along a horizontal, frictionless surface toward a block of mass \(m_2 = 3.0 \text{ kg}\) that is initially at rest. The blocks collide along a straight line, and the magnitude of the horizontal contact force \(F(t)\) exerted by block 1 on block 2 as a function of time \(t\) is shown in the graph. The collision lasts from \(t = 0\) to \(t = 6.0 \text{ ms}\), during which the contact force increases linearly to a maximum of \(3000 \text{ N}\) at \(t = 2.0 \text{ ms}\) and then decreases linearly to zero at \(t = 6.0 \text{ ms}\). How much mechanical energy is converted into internal energy during the collision?

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