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Matter & Interactions 2nd ed. Practice Problems	Aaron Titus \| High Point University
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I. Modern Mechanics (89)

1 Interactions and Motion (21)

2 The Momentum Principle: Impulse and Momentum Change (18)

3 The Momentum Principle: Non-constant Forces (7)

4 Contact Forces and the Momentum Principle (14)

4.1 Tarzan and the vine (0)

4.2 A model of a solid: Balls connected by springs (0)

4.3 Tension forces (1)

4.4 Length of an interatomic bond (1)

4.5 The stiffness of an interactomic bond (3)

4.6 Stress, strain, and Young's modulus (0)

4.7 Compresssion (normal) forces (1)

4.8 Contact forces and the Momentum Principle (0)

4.9 Derivative form of the Momentum Principle (0)

4.10 Momentum not changing (Statics) (1)

4.11 Finding the rate of change of momentum (0)

4.12 Parallel and perpendicular components (0)

4.13 Why does the vine break? (3)

4.14 Speed of sound in a solid and interatomic bond stiffness (0)

4.15 Analytical solution: spring-mass system (1)

4.16 Analytical expression for speed of sound (0)

4.17 Contact forces due to gases (2)

4.18 *More curving motion examples (1)

4.19 *A vertical spring-mass system (0)

4.20 *General solution for the mass-spring system (0)

5 The Energy Principle (11)

6 Energy in Macroscopic Systems (5)

7 Energy Quantization (2)

8 Multiparticle Systems (3)

9 Collisions (2)

10 Angular Momentum (6)

11 Entropy: Limits on the Possible (0)

12 Gases and Engines (0)

1450002 A 2-D lattice of balls and springs. 1450002
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Question

Suppose that in the lab, you build a set of identical balls connected by identical springs, as shown below. Figure: A 2-D ball-and-spring model. The masses of the balls and springs are negligible compared to the block that you hang from the apparatus. If you hang a 0.25-kg block in equilibrium, the apparatus stretches 0.050 m from its relaxed length. What is the stiffness of each spring? How much did each spring stretch?