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A car is driving along the freeway. Estimate the ratio r of its kinetic energy to its rest energy. T=

A car is driving along the freeway. Estimate the ratio r of its kinetic energy to its rest energy. T=

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A car is driving along the freeway. Estimate the ratio \( r \) of its kinetic energy to its rest energy. \[ r = \] *Note: The image contains a rectangular input box for the answer, but no graphs or additional diagrams are included.*
Transcribed Image Text:A car is driving along the freeway. Estimate the ratio \( r \) of its kinetic energy to its rest energy. \[ r = \] *Note: The image contains a rectangular input box for the answer, but no graphs or additional diagrams are included.*
Expert Solution
Step 1: Determining all the relationship

The relation between the kinetic energy of the car to its rest mass energy is, K E equals gamma K E subscript 0

The expression for the kinetic energy of the car is,

K E equals 1 half m v squared

The expression for the rest mass energy of the car is,

K E subscript 0 equals m c squared

Consider the average speed of the car as 60 miles per hour. Then the speed of the car in m/s is,

v = 60 mile/h

equals 60 left parenthesis fraction numerator 1609.34 m over denominator 3600 s end fraction right parenthesis equals 26.82 m divided by s


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