Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision Next revisionBoth sides next revision | ||
183_notes:model_of_a_wire [2015/09/20 12:16] – [Modeling the solid wire] caballero | 183_notes:model_of_a_wire [2021/02/18 20:35] – [Modeling a Solid Wire with Springs] stumptyl | ||
---|---|---|---|
Line 1: | Line 1: | ||
- | ===== Modeling a Solid Wire with Springs ====== | + | Section 4.4 and 4.5 in Matter and Interactions (4th edition) |
- | To understand how solids exert different forces, you must learn how the microscopic, | + | ===== Modeling |
+ | To understand how solids exert different forces, you must learn how the microscopic, | ||
+ | ** | ||
==== Lecture Video ==== | ==== Lecture Video ==== | ||
Line 15: | Line 17: | ||
$$\rho = 21.45 \dfrac{g}{cm^3} \left(\dfrac{1kg}{10^3g}\right)\left(\dfrac{100 cm}{1m}\right)^3 = 21.45 \times 10^3 kg/m^3$$ | $$\rho = 21.45 \dfrac{g}{cm^3} \left(\dfrac{1kg}{10^3g}\right)\left(\dfrac{100 cm}{1m}\right)^3 = 21.45 \times 10^3 kg/m^3$$ | ||
- | Consider a cubic meter of Pt, which is a cube that is 1m long on each side((This amount of Pt would costs nearly $1, | + | Consider a cubic meter of Pt, which is a cube that is 1m long on each side((This amount of Pt would costs nearly $700, |
$$21.45\times10^3 \dfrac{kg}{m^3} \left(\dfrac{1 mol}{0.195 kg}\right) \left(\dfrac{6.02\times10^{23} atoms}{1 mol}\right) = 6.62\times10^{28}\: | $$21.45\times10^3 \dfrac{kg}{m^3} \left(\dfrac{1 mol}{0.195 kg}\right) \left(\dfrac{6.02\times10^{23} atoms}{1 mol}\right) = 6.62\times10^{28}\: | ||
Line 36: | Line 38: | ||
=== Two springs connected end-to-end (series) === | === Two springs connected end-to-end (series) === | ||
- | [{{183_notes: | + | [{{183_notes: |
Line 72: | Line 74: | ||
Let's consider attaching a 100N ball to two 100N/m springs where each spring is connected to the ball and not to each other. In this case, both springs must stretch by the same amount. If the ball hangs motionless (no change in momentum), we can use the momentum principle to determine how much these springs stretch. | Let's consider attaching a 100N ball to two 100N/m springs where each spring is connected to the ball and not to each other. In this case, both springs must stretch by the same amount. If the ball hangs motionless (no change in momentum), we can use the momentum principle to determine how much these springs stretch. | ||
+ | |||
+ | [{{183_notes: | ||
+ | |||
$$\Delta \vec{p} = 0\: | $$\Delta \vec{p} = 0\: |