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What constant acceleration, in SI units, must a car have to go from zero to 60 mph in 10 s?
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Ch 02: Kinematics in One Dimension
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 2, Problema 13b
How far has the car traveled when it reaches 60 mph? Give your answer both in SI units and in feet.
Guida verificata passo dopo passo1
Identify the given information: The car's final velocity is 60 mph. Convert this velocity to SI units (meters per second) using the conversion factor: 1 mile = 1609.34 meters and 1 hour = 3600 seconds. The formula for conversion is: .
Determine the acceleration of the car if it is not explicitly given. If the acceleration is provided, note it down. If not, assume a constant acceleration and denote it as .
Use the kinematic equation to find the distance traveled: , where is the initial velocity (assume 0 if the car starts from rest), is the final velocity, is the acceleration, and is the distance traveled.
Rearrange the equation to solve for : . Substitute the known values for , , and to calculate in meters.
Convert the distance from meters to feet using the conversion factor: 1 meter = 3.28084 feet. The formula is: . Provide the final distance in both meters and feet.
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Speed and Velocity
Speed is a scalar quantity that measures how fast an object is moving, defined as the distance traveled per unit of time. In this case, the car's speed is given as 60 mph (miles per hour), which can be converted to SI units (meters per second) for consistency in calculations. Understanding speed is crucial for determining how far the car travels over a specific time interval.
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Percorso guidato
05:35
Intro to Velocity and Speed
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another. For this question, it involves converting miles to meters and hours to seconds to express the car's speed in SI units. Additionally, converting the final distance from meters to feet is necessary to provide the answer in both requested units, highlighting the importance of dimensional analysis in physics.
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Percorso guidato
07:46Unit Conversions
Distance Calculation
Distance is calculated using the formula: distance = speed × time. To find out how far the car has traveled at 60 mph, one must specify the time duration for which the car has been traveling. This relationship is fundamental in kinematics, allowing us to determine the total distance covered based on the speed and time of travel.
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Percorso guidato
04:15Calculating Dot Product Using Vector Components
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