Textbook Question
A single force with x-component Fₓ acts on a 2.0 kg object as it moves along the x-axis. A graph of Fₓ versus t is shown in FIGURE P5.32. Draw an acceleration graph aₓ versus t) for this object.
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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 24
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.
Verified step by step guidance1
Step 1: Identify the object in question. In this case, the object is the ice hockey puck gliding across frictionless ice.
Step 2: Recognize the key condition of the problem: the ice is frictionless. This means there is no force of friction acting on the puck.
Step 3: Determine the forces acting on the puck. The two primary forces are: (1) the gravitational force acting downward, represented as \( F_g = m \cdot g \), where \( m \) is the mass of the puck and \( g \) is the acceleration due to gravity, and (2) the normal force exerted by the ice surface acting upward, which balances the gravitational force.
Step 4: Note that since the puck is gliding and no external horizontal forces are mentioned, there are no horizontal forces acting on the puck. Its motion is governed by inertia, as per Newton's First Law.
Step 5: Draw the free-body diagram. Represent the puck as a dot or small rectangle. Draw an arrow pointing downward labeled \( F_g \) (gravitational force) and an arrow pointing upward labeled \( F_N \) (normal force). Ensure the lengths of the arrows are equal to indicate that the forces are balanced.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Free-Body Diagram
A free-body diagram is a graphical representation used to visualize the forces acting on an object. It typically includes the object in question, represented as a dot or a box, and arrows indicating the direction and magnitude of each force. This tool helps in analyzing the net force and understanding the motion of the object based on Newton's laws.
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Free-Body Diagrams
Forces Acting on an Object
Forces are interactions that can cause an object to accelerate, decelerate, or change direction. In the case of the ice hockey puck, the primary forces to consider are gravitational force acting downward and the normal force acting upward from the ice surface. Since the ice is frictionless, there are no frictional forces opposing the puck's motion.
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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 is crucial for understanding the behavior of the hockey puck as it glides across the ice, indicating that it will maintain its state of motion until a force, such as friction or a collision, acts on it.
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Related Practice
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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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. Your physics textbook is sliding across the table.
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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
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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