Domanda del libro di testo
In each case, find the x- and y- components of vector A: A = 11.2j - 9.91i
3083
views
Ch 01: Units, Physical Quantities & Vectors
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testo
Young & Freedman Calc 15th EditionCh 01: Units, Physical Quantities & VectorsProblema 30a
Young & Freedman Calc 15th EditionCh 01: Units, Physical Quantities & VectorsProblema 30aCapitolo 1, Problema 30a
Find the magnitude and direction of the vector represented by the following pairs of components: Ax = −8.60 cm, Ay = 5.20 cm
Guida verificata passo dopo passo1
Step 1: Understand that the vector components Ax and Ay represent the horizontal and vertical components of the vector, respectively. The magnitude of the vector can be found using the Pythagorean theorem.
Step 2: Use the formula for the magnitude of a vector: , where A and B are the components Ax and Ay. Substitute Ax = -8.60 cm and Ay = 5.20 cm into the formula.
Step 3: Calculate the magnitude of the vector using the formula: cm.
Step 4: Determine the direction of the vector using the tangent function. The direction angle θ can be found using the formula: . Substitute Ax = -8.60 cm and Ay = 5.20 cm into the formula.
Step 5: Calculate the direction angle θ using the formula: . Consider the signs of Ax and Ay to determine the correct quadrant for the angle.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
5mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Vector Magnitude
The magnitude of a vector is a measure of its length and is calculated using the Pythagorean theorem. For a vector with components Ax and Ay, the magnitude is given by the formula √(Ax² + Ay²). This provides a scalar quantity representing the size of the vector irrespective of its direction.
Video consigliato:
Percorso guidato
03:59
Calculating Magnitude & Components of a Vector
Vector Direction
The direction of a vector is determined by the angle it makes with a reference axis, typically the positive x-axis. This angle, θ, can be found using trigonometry, specifically the tangent function: θ = arctan(Ay/Ax). The angle provides insight into the vector's orientation in a coordinate system.
Video consigliato:
Percorso guidato
06:44Adding 3 Vectors in Unit Vector Notation
Coordinate System
Understanding the coordinate system is crucial for interpreting vector components. In a Cartesian coordinate system, vectors are expressed in terms of their horizontal (x-axis) and vertical (y-axis) components. This system allows for the decomposition and analysis of vectors in two dimensions, facilitating calculations of magnitude and direction.
Video consigliato:
Percorso guidato
05:17Coordinates of Center of Mass of 4 objects
Pratica correlata
Domanda del libro di testo
Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of A - B In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.
6307
views
1
comments
Domanda del libro di testo
A disoriented physics professor drives 3.25 km north, then 2.20 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components. In a vector-addition diagram (roughly to scale), show that the resultant displacement found from your diagram is in qualitative agreement with the result you obtained by using the method of components.
3393
views
1
rank
Domanda del libro di testo
For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of the vector difference B - A
2915
views
Domanda del libro di testo
For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of the vector sum A + B
3113
views
Domanda del libro di testo
For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of the vector difference A - B
3883
views