37. ssm The average value of the squared speed 2 does not equal the square of the average speed (7)2. To verify this fact, consider three particles with the following speeds: v₁ = 3.0 m/s, V₂ = 7.0 m/s, V3 = 9.0 m/s. Calculate (a) v² = (0,² +0₂² + v3²) and (b) (5)² = [(v₁ + 0₂ +03)]². and -

37. ssm The average value of the squared speed 2 does not equal the square of the average speed (7)2. To verify this fact, consider three particles with the following speeds: v₁ = 3.0 m/s, V₂ = 7.0 m/s, V3 = 9.0 m/s. Calculate (a) v² = (0,² +0₂² + v3²) and (b) (5)² = [(v₁ + 0₂ +03)]². and -

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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Question

Physics Ch. 14 #37

**Problem 37:**

The average value of the squared speed \(\overline{v^2}\) does not equal the square of the average speed \((\overline{v})^2\). To verify this fact, consider three particles with the following speeds: \(v_1 = 3.0 \, \text{m/s}\), \(v_2 = 7.0 \, \text{m/s}\), and \(v_3 = 9.0 \, \text{m/s}\). Calculate:

(a) \(\overline{v^2} = \frac{1}{3}(v_1^2 + v_2^2 + v_3^2)\)

(b) \((\overline{v})^2 = \left[\frac{1}{3}(v_1 + v_2 + v_3)\right]^2\)

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