E(n) = n² h² 8m₂ L2 3² × (6.62607004 × 10-34 Js)² = 8 ×9.1093856 × 10-3¹ kg × (8.4 × 10-¹0)² m² It's a good idea to rearrange this to collect powers of ten; 32 x (6.62607004 × 10-34 J s)² 8 x 9.1093856 × 10-³¹ kg × (8.4× 10¹0)² m² (10-34)2 32 x 6.62607004² 8 x 9.1093856 × 8.4² 10-31 x (10¹0)2 X = 7.68 × 10-¹⁹ J J

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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How did they rearrange and get J without m, kg, s?

E(n) =
n² h²
8m₂ L2
3² × (6.62607004 × 10-³4 J s)²
8 ×9.1093856 × 10-31 kg x (8.4 x 10-¹0)² m²
It's a good idea to rearrange this to collect powers of ten;
3² × (6.62607004 × 10-34 J s)²
8 x 9.1093856 x 10-3¹ kg x (8.4 x 10¹0)² m²
32 x 6.62607004²
8 x 9.1093856 x 8.4²
X
(10-34)²
10-³¹ × (10¹0)²
= 7.68 x 10-19 J
J
Transcribed Image Text:E(n) = n² h² 8m₂ L2 3² × (6.62607004 × 10-³4 J s)² 8 ×9.1093856 × 10-31 kg x (8.4 x 10-¹0)² m² It's a good idea to rearrange this to collect powers of ten; 3² × (6.62607004 × 10-34 J s)² 8 x 9.1093856 x 10-3¹ kg x (8.4 x 10¹0)² m² 32 x 6.62607004² 8 x 9.1093856 x 8.4² X (10-34)² 10-³¹ × (10¹0)² = 7.68 x 10-19 J J
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