battery. It was found that the time (t) is proportional to different powers of acceleration (a) , mass (m), and energy (E) of the battery. Use dimensional homogeneity to find the formula of the time and the value of overall dimensionless proportional constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D km/hr, and the mass is 14D-pound.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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  • The company is conducting set of experiments to maximize the time needed to discharge the battery. It was found that the time (t) is proportional to different powers of acceleration (a) , mass (m), and energy (E) of the battery. Use dimensional homogeneity to find the formula of the time and the value of overall dimensionless proportional constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D km/hr, and the mass is 14D-pound.
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