Domanda del libro di testo
In FIGURE EX10.27, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm
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Ch 10: Interactions and Potential Energy
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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TOC.tableOfContents
- Ch 01: Concepts of Motion35
- Ch 02: Kinematics in One Dimension75
- Ch 03: Vectors and Coordinate Systems58
- Ch 04: Kinematics in Two Dimensions60
- Ch 05: Force and Motion23
- Ch 06: Dynamics I: Motion Along a Line53
- Ch 07: Newton's Third Law27
- Ch 08: Dynamics II: Motion in a Plane52
- Ch 09: Work and Kinetic Energy56
- Ch 10: Interactions and Potential Energy50
- Ch 11: Impulse and Momentum56
- Ch 12: Rotation of a Rigid Body71
- Ch 13: Newton's Theory of Gravity52
- Ch 14: Fluids and Elasticity44
- Ch 15: Oscillations55
- Ch 16: Traveling Waves37
- Ch 17: Superposition39
- Ch 18: A Macroscopic Description of Matter53
- Ch 19: Work, Heat, and the First Law of Thermodynamics60
- Ch 20: The Micro/Macro Connection53
- Ch 21: Heat Engines and Refrigerators34
- Ch 22: Electric Charges and Forces40
- Ch 23: The Electric Field39
- Ch 24: Gauss' Law32
- Ch 25: The Electric Potential63
- Ch 26: Potential and Field57
- Ch 27: Current and Resistance42
- Ch 28: Fundamentals of Circuits39
- Ch 29: The Magnetic Field47
- Ch 30: Electromagnetic Induction60
- Ch 31: Electromagnetic Fields and Waves32
- Ch 32: AC Circuits63
- Ch 33: Wave Optics32
- Ch 34: Ray Optics57
- Ch 35: Optical Instruments30
- Ch 36: Special Relativity38
- Ch 37: The Foundations of Modern Physics25
- Ch 38: Quantization49
- Ch 39: Wave Functions and Uncertainty31
- Ch 40: One-Dimensional Quantum Mechanics35
- Ch 41: Atomic Physics18
- Ch 42: Nuclear Physics27
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Capitolo 10, Problema 28a
FIGURE EX10.28 shows the potential-energy diagram for a 500 g particle as it moves along the x-axis. Suppose the particle's mechanical energy is 12 J. Where are the particle's turning points?
Guida verificata passo dopo passo1
Step 1: Understand the concept of turning points. Turning points occur where the particle's mechanical energy equals its potential energy, as the kinetic energy becomes zero at these points.
Step 2: Identify the mechanical energy of the particle, which is given as 12 J. This is the total energy of the system, and the particle cannot access regions where the potential energy exceeds this value.
Step 3: Analyze the potential-energy diagram provided. Locate the points along the x-axis where the potential energy curve intersects the value of 12 J. These intersections represent the turning points.
Step 4: From the graph, observe that the potential energy curve intersects the 12 J line at two specific x-values. Carefully read these x-values from the graph.
Step 5: Conclude that the turning points are at the x-values where the potential energy equals 12 J. These points define the limits of the particle's motion along the x-axis.
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Potential Energy
Potential energy (U) is the energy stored in an object due to its position in a force field, such as gravitational or elastic fields. In the context of the diagram, it represents the energy of the particle at various positions along the x-axis. The shape of the potential energy curve indicates how the energy changes with position, which is crucial for determining the particle's motion.
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07:24
Potential Energy Graphs
Mechanical Energy
Mechanical energy is the sum of kinetic energy (KE) and potential energy (PE) in a system. In this case, the total mechanical energy of the particle is given as 12 J. The turning points of the particle occur where its mechanical energy equals the potential energy, indicating the maximum and minimum positions the particle can reach without additional energy input.
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06:24Conservation Of Mechanical Energy
Turning Points
Turning points are positions where the particle changes direction, occurring when its kinetic energy is zero. These points can be found by identifying where the potential energy equals the total mechanical energy. In the provided diagram, the turning points correspond to the x-values where the potential energy curve intersects the horizontal line representing the mechanical energy of 12 J.
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08:35Angular Momentum of a Point Mass
Pratica correlata
Domanda del libro di testo
A system in which only one particle moves has the potential energy shown in FIGURE EX10.31. What is the x-component of the force on the particle at x = 5, 15, and 25 cm?
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Domanda del libro di testo
A particle moving along the y-axis is in a system with potential energy U = 4y3 J, where y is in m. What is the y-component of the force on the particle at y = 0 m, 1 m, and 2 m?
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Domanda del libro di testo
In FIGURE EX10.26, What minimum speed does a 100 g particle need at point B to reach point A?
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Domanda del libro di testo
In FIGURE EX10.28, what is the maximum speed a 200 g particle could have at x = 2.0 m and never reach x = 6.0 m?
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Domanda del libro di testo
FIGURE EX10.25 is the potential-energy diagram for a 20 g particle that is released from rest at x = 1.0 m. What is the particle's maximum speed? At what position does it have this speed?
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