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Norma-Jean [14]
3 years ago
13

A man jogs at a speed of 1.6 m/s. His dog

Physics
1 answer:
FromTheMoon [43]3 years ago
5 0
I believe it is
1.6x=2.7(x-1.8)
1.1x=2.7*1.8
x~4.4
4.4*1.6
~7.1m
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svetoff [14.1K]

Answer:

0.34148 m

Explanation:

\rho = Resistivity of tungsten = 5.6\times 10^{-8}\ \Omega m

d = Diameter = 0.0018 inch

r = Radius = \dfrac{r}{2}=\dfrac{0.0018}{2}=0.0009\ in

r=0.0009\times 0.0254=0.00002286\ m

\alpha = Temperature coefficient of tungsten = 0.0045 /^{\circ}C

Power is given by

P=\dfrac{V^2}{R}\\\Rightarrow R=\dfrac{V^2}{P}\\\Rightarrow R=\dfrac{120^2}{100}\\\Rightarrow R=144\ \Omega

We have the equation

R_2=R_1[1+\alpha(T_2-T_1)]\\\Rightarrow R_1=\dfrac{R_2}{1+\alpha(T_2-T_1)}\\\Rightarrow R_1=\dfrac{144}{1+0.0045(2550-25)}\\\Rightarrow R_1=11.64812\ \Omega

Resistance is given by

R=\rho\dfrac{l}{A}\\\Rightarrow l=\dfrac{RA}{\rho}\\\Rightarrow l=\dfrac{11.64812\times \pi (0.00002286)^2}{5.6\times 10^{-8}}\\\Rightarrow l=0.34148\ m

The length of the filament is 0.34148 m

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