Domanda del libro di testo
In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0.053 nm around a stationary proton. How many revolutions per second does the electron make?
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Ch 22: Electric Charges and Forces
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
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Capitolo 22, Problema 47
What is the force F on the 1.0 nC charge at the bottom in FIGURE P22.47? Give your answer in component form.
Guida verificata passo dopo passo1
Step 1: Identify the charges and their positions in FIGURE P22.47. Note the magnitudes of the charges, their coordinates, and the distances between them. The charge at the bottom is 1.0 nC, and we need to calculate the net force acting on it due to other charges in the system.
Step 2: Use Coulomb's law to calculate the force between two point charges. Coulomb's law is given by: , where is the Coulomb constant ( N·m²/C²), and are the charges, and is the distance between them.
Step 3: Break the forces into components. For each pair of charges, calculate the x and y components of the force using trigonometry. The x-component is given by , and the y-component is given by , where is the angle between the force vector and the horizontal axis.
Step 4: Sum up the components of the forces from all charges acting on the 1.0 nC charge. Add the x-components together to find the net force in the x-direction, and add the y-components together to find the net force in the y-direction.
Step 5: Express the net force in component form as , where and are the net forces in the x and y directions, respectively.
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Coulomb's Law
Coulomb's Law describes the electrostatic force between two charged objects. It states that the force (F) is directly proportional to the product of the magnitudes of the charges (q1 and q2) and inversely proportional to the square of the distance (r) between them. The formula is F = k * (|q1 * q2|) / r², where k is Coulomb's constant. This law is fundamental for calculating the forces acting on charged particles.
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Percorso guidato
09:52
Coulomb's Law
Vector Components
In physics, forces are often represented as vectors, which have both magnitude and direction. To analyze forces in a two-dimensional space, it is useful to break them down into their components along the x and y axes. This allows for easier calculations and understanding of the net force acting on an object. The components can be found using trigonometric functions based on the angle of the force vector.
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07:30Vector Addition By Components
Superposition Principle
The Superposition Principle states that when multiple forces act on a charge, the total force is the vector sum of all individual forces. This principle is crucial in electrostatics, as it allows us to calculate the net force on a charge by considering the contributions from all other charges in the system. By applying this principle, one can determine the resultant force acting on the 1.0 nC charge by adding the forces due to other nearby charges.
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03:32Superposition of Sinusoidal Wave Functions
Pratica correlata
Domanda del libro di testo
FIGURE P22.52 shows three charges and the net force on charge −q. Charge Q is some multiple α of q. What is α?
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Domanda del libro di testo
A +2.0 nC charge is at the origin and a −4.0 nC charge is at x = 1.0 cm. Would the net force be zero for an electron placed at the same position? Explain.
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Domanda del libro di testo
A 3.00-cm-long spring has a small plastic bead glued to each end. Charging each bead to −25 nC expands the spring by 0.50 cm. What is the value of the spring constant?
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Domanda del libro di testo
What is the force F on the 8.0 nC charge in FIGURE P22.44? Give your answer as a magnitude and an angle measured cw or ccw (specify which) from the +x-axis.
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Domanda del libro di testo
Objects A and B are both positively charged. Both have a mass of 100 g, but A has twice the charge of B. When A and B are placed 10 cm apart, B experiences an electric force of 0.45 N. What is the charge on A?
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