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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)

5 The Energy Principle (11)

5.1 The Energy Principle (0)

5.2 The simplest system: a single particle (1)

5.3 Work: Mechanical energy transfer (1)

5.4 Update form of the Energy Principle (1)

5.5 Change of identity--change of rest energy (2)

5.6 Proof of the Energy Principle for a particle (0)

5.7 Work done by a non-constant force (1)

5.8 Potential energy in multiparticle systems (0)

5.9 Properties of potential energy (0)

5.10 Gravitational potential energy (2)

5.11 Applying gravitational potential energy (1)

5.12 Gravitational potential energy near the Earth's surface (1)

5.13 Electric potential energy (1)

5.14 The mass of a multiparticle system (0)

5.15 Reflection: Why energy? (0)

5.16 Identifying initial and final states (0)

5.17 *A puzzle (0)

5.18 *Gradient of potential energy (0)

5.19 *Integrals and antiderivatives (0)

5.20 *Approximation for kinetic energy (0)

5.21 *Finding the formula for particle energy (0)

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)

15c0001 Speed of a roller coaster at the top of the loop. 15c0001
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Question

A roller coaster has a speed of 2.0 m/s at the top of a 60.0-m tall hill as shown below. If friction is negligible, what is the speed of the roller coaster at the top of the loop that has a radius of 20.0 m? Figure: A roller coaster.