In Example 3, we calculated the thickness of a glacier assuming the friction at the base of

Question:

In Example 3, we calculated the thickness of a glacier assuming the friction at the base of the glacier is constant. In we consider cases where the friction varies along the length of the glacier.

EXAMPLE 3 A Glacial Thickness Model Let p=917 kg/m, g = 9.8 m/s, and T = 75,000 N/m in Eq. (2). Use T (0) - 0

(a) Solve the glacier thickness differential equation [Eq. (2)] for T(x) with τ(x) = 75x N/m²and initial condition T(0) = 0.

dT dx || T pg (b) Sketch the graph of T for 0 ≤ x ≤ 1000 m.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 13, 2023 12:15 AM

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In Example 3, we calculated the thickness of a glacier assuming the friction at the base of

Question:

EXAMPLE 3 A Glacial Thickness Model Let p = 917 kg/m³, g = 9.8 m/s², and T = 75,000 N/m² in Eq. (2). Use T (0) = 0 for an initial condition, and solve for T(x). Then use T'(x) to determine the thickness of the glacier 1 km from its terminus. dT T = dx T pg

Step by Step Answer:

a Let Tx 75x Nm and use the values for ice density p 917 kgm and acceleration due to gr...View the full answer

Calculus

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