Textbook Question
A single force with x-component Fₓ acts on a 500 g object as it moves along the x-axis. The object's acceleration graph aₓ versus t) is shown in FIGURE P5.30. Draw a graph of Fₓ versus t.
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Ch 05: Force and Motion
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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Table of contents
- 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: 9780137344796Not the one you use?Change textbook
Chapter 5, Problem 19c
Newton's First Law Exercises 17, 18, and 19 show two of the three forces acting on an object in equilibrium. Redraw the diagram, showing all three forces. Label the third force F3.
Verified step by step guidance1
Step 1: Analyze the diagram provided. The forces Fa and Fb are shown acting on an object at equilibrium. Fa is directed downward and to the left, while Fb is directed downward and to the right.
Step 2: Recall Newton's First Law, which states that an object in equilibrium has a net force of zero. This means the vector sum of all forces acting on the object must equal zero.
Step 3: To satisfy equilibrium, the third force F3 must counteract the combined effect of Fa and Fb. F3 should be equal in magnitude but opposite in direction to the resultant vector of Fa and Fb.
Step 4: Calculate the resultant vector of Fa and Fb by adding their components. Use the x and y axes to break down Fa and Fb into their respective components. For example, Fa_x and Fa_y for Fa, and Fb_x and Fb_y for Fb.
Step 5: Draw F3 on the diagram. F3 should originate from the same point as Fa and Fb, but its direction should be opposite to the resultant vector of Fa and Fb. Label this force as F3.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Newton's First Law of Motion
Newton's First Law states that an object at rest will remain at rest, and an object in motion will continue in motion with the same speed and in the same direction unless acted upon by a net external force. This principle highlights the concept of inertia, which is the tendency of an object to resist changes in its state of motion.
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Newton's 1st Law
Equilibrium
Equilibrium occurs when the net force acting on an object is zero, resulting in no acceleration. In the context of forces, this means that all forces acting on the object balance each other out. For an object in equilibrium, the vector sum of all forces must equal zero, which is crucial for analyzing static and dynamic systems.
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Vector Addition
Vector addition is the process of combining two or more vectors to determine a resultant vector. In physics, vectors represent quantities that have both magnitude and direction, such as forces. To find the third force in the equilibrium scenario, one must use vector addition to ensure that the sum of all forces equals zero, allowing for the identification of the missing force.
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Related Practice
Textbook Question
FIGURE EX5.14 shows an object's acceleration-versus-force graph. What is the object's mass?
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Textbook Question
Newton's First Law Exercises 17, 18, and 19 show two of the three forces acting on an object in equilibrium. Redraw the diagram, showing all three forces. Label the third force F3.
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Textbook Question
Exercises 23, 24, 25, 26, and 27 describe a situation. For each, identify all forces acting on the object and draw a free-body diagram of the object. An ice hockey puck glides across frictionless ice.
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Textbook Question
Exercises 23, 24, 25, 26, and 27 describe a situation. For each, identify all forces acting on the object and draw a free-body diagram of the object. Your physics textbook is sliding across the table.
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Textbook Question
What is the acceleration, as a multiple of g, if this force is applied to a 110 kg bicyclist? This is the combined mass of the cyclist and the bike.
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