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A 2.0 kg object is moving to the right with a speed of when it experiences the force shown in FIGURE EX11.9. What are the object's speed and direction after the force ends?
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Ch 11: Impulse and Momentum
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 11, Problema 6
FIGURE EX11.6 is an incomplete momentum bar chart for a collision that lasts 10 ms. What are the magnitude and direction of the average collision force exerted on the object?
Guida verificata passo dopo passo1
Step 1: Analyze the momentum bar chart. The initial momentum (P_ix) is represented by the shaded bar on the left, which corresponds to +6 kg·m/s. The final momentum (P_fx) is represented by the shaded bar on the right, which corresponds to -3 kg·m/s.
Step 2: Calculate the change in momentum (ΔP). The change in momentum is given by ΔP = P_fx - P_ix. Substitute the values: ΔP = (-3 kg·m/s) - (+6 kg·m/s).
Step 3: Use the impulse-momentum theorem to relate the change in momentum to the average collision force. The impulse-momentum theorem states that J_x = F_avg × Δt, where J_x is the impulse, F_avg is the average force, and Δt is the time duration of the collision.
Step 4: Substitute the value of ΔP for J_x, as impulse is equal to the change in momentum. Also, substitute the given time duration of the collision, Δt = 10 ms = 0.01 s, into the equation.
Step 5: Rearrange the equation to solve for F_avg. F_avg = ΔP / Δt. Substitute the values of ΔP and Δt to find the magnitude and direction of the average collision force.
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Momentum
Momentum is a vector quantity defined as the product of an object's mass and its velocity. It is represented by the symbol 'p' and is crucial in understanding collisions, as it is conserved in isolated systems. The momentum before and after a collision can be analyzed to determine the effects of the collision on the objects involved.
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Percorso guidato
05:17
Intro to Momentum
Impulse
Impulse is defined as the change in momentum of an object when a force is applied over a period of time. It is calculated as the product of the average force and the time duration of the force application. In the context of collisions, impulse helps quantify the effect of the collision force on the momentum of the objects involved.
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06:00Impulse & Impulse-Momentum Theorem
Average Force
Average force is the total impulse experienced by an object divided by the time duration over which the force acts. It provides a measure of how much force is exerted on an object during a collision. Understanding average force is essential for analyzing the dynamics of collisions and determining the resulting motion of the objects involved.
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05:44Solving Constant and Average Velocity Problems
Pratica correlata
Domanda del libro di testo
What is the impulse on a 3.0 kg particle that experiences the force shown in FIGURE EX11.4?
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Far in space, where gravity is negligible, a 425 kg rocket traveling at 75 m/s in the +x-direction fires its engines. FIGURE EX11.10 shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible. At what time does the rocket reach its maximum speed? What is the maximum speed?
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In FIGURE EX11.5, what value of Fmax gives an impulse of 6.0 N s?
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What impulse does the force shown in FIGURE EX11.3 exert on a 250 g particle?
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Domanda del libro di testo
A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in FIGURE EX11.8. What are the object's speed and direction after the force ends?
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